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Finding the Fourth Proportional to 597.33, 824.14 and 345.23

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Solution

The fourth proportional to 597.33, 824.14 and 345.23 is: 476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.33 : 824.14 = 345.23 : x
  2. Step 2: Convert to fraction form
    597.33/824.14 = 345.23/x
  3. Step 3: Cross multiply
    597.33x = 824.14 × 345.23
  4. Step 4: Simplify right side
    597.33x = 284,519.05
  5. Step 5: Solve for x
    x = 284,519.05/597.33
  6. Step 6: Final answer
    x = 476.32

Related Problems

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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.