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Finding the Fourth Proportional to 616.40, 925.10 and 324.24

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Solution

The fourth proportional to 616.40, 925.10 and 324.24 is: 486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 925.10 = 324.24 : x
  2. Step 2: Convert to fraction form
    616.40/925.10 = 324.24/x
  3. Step 3: Cross multiply
    616.40x = 925.10 × 324.24
  4. Step 4: Simplify right side
    616.40x = 299,954.42
  5. Step 5: Solve for x
    x = 299,954.42/616.40
  6. Step 6: Final answer
    x = 486.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.