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Finding the Fourth Proportional to 597.84, 824.76 and 364.92

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Solution

The fourth proportional to 597.84, 824.76 and 364.92 is: 503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 824.76 = 364.92 : x
  2. Step 2: Convert to fraction form
    597.84/824.76 = 364.92/x
  3. Step 3: Cross multiply
    597.84x = 824.76 × 364.92
  4. Step 4: Simplify right side
    597.84x = 300,971.42
  5. Step 5: Solve for x
    x = 300,971.42/597.84
  6. Step 6: Final answer
    x = 503.43

Related Problems

Find fourth proportional to 298.92, 412.38 and 182.46
Half scale
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Double scale
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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.