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Finding the Fourth Proportional to 597.97, 824.92 and 365.23

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Solution

The fourth proportional to 597.97, 824.92 and 365.23 is: 503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 824.92 = 365.23 : x
  2. Step 2: Convert to fraction form
    597.97/824.92 = 365.23/x
  3. Step 3: Cross multiply
    597.97x = 824.92 × 365.23
  4. Step 4: Simplify right side
    597.97x = 301,285.53
  5. Step 5: Solve for x
    x = 301,285.53/597.97
  6. Step 6: Final answer
    x = 503.85

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Double scale
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Similar ratio
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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.