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Finding the Fourth Proportional to 596.97, 824.10 and 398.14

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Solution

The fourth proportional to 596.97, 824.10 and 398.14 is: 549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.97 : 824.10 = 398.14 : x
  2. Step 2: Convert to fraction form
    596.97/824.10 = 398.14/x
  3. Step 3: Cross multiply
    596.97x = 824.10 × 398.14
  4. Step 4: Simplify right side
    596.97x = 328,106.61
  5. Step 5: Solve for x
    x = 328,106.61/596.97
  6. Step 6: Final answer
    x = 549.62

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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.