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Finding the Fourth Proportional to 616.36, 924.42 and 421.24

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Solution

The fourth proportional to 616.36, 924.42 and 421.24 is: 631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 924.42 = 421.24 : x
  2. Step 2: Convert to fraction form
    616.36/924.42 = 421.24/x
  3. Step 3: Cross multiply
    616.36x = 924.42 × 421.24
  4. Step 4: Simplify right side
    616.36x = 389,402.68
  5. Step 5: Solve for x
    x = 389,402.68/616.36
  6. Step 6: Final answer
    x = 631.78

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