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Finding the Fourth Proportional to 597.41, 824.01 and 411.35

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Solution

The fourth proportional to 597.41, 824.01 and 411.35 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 824.01 = 411.35 : x
  2. Step 2: Convert to fraction form
    597.41/824.01 = 411.35/x
  3. Step 3: Cross multiply
    597.41x = 824.01 × 411.35
  4. Step 4: Simplify right side
    597.41x = 338,959.54
  5. Step 5: Solve for x
    x = 338,959.54/597.41
  6. Step 6: Final answer
    x = 567.38

Related Problems

Find fourth proportional to 298.71, 412.01 and 205.68
Half scale
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Double scale
Find fourth proportional to 598.41, 825.39 and 412.35
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.