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Finding the Fourth Proportional to 616.66, 925.35 and 425.14

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Solution

The fourth proportional to 616.66, 925.35 and 425.14 is: 637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 925.35 = 425.14 : x
  2. Step 2: Convert to fraction form
    616.66/925.35 = 425.14/x
  3. Step 3: Cross multiply
    616.66x = 925.35 × 425.14
  4. Step 4: Simplify right side
    616.66x = 393,403.30
  5. Step 5: Solve for x
    x = 393,403.30/616.66
  6. Step 6: Final answer
    x = 637.96

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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.