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Finding the Fourth Proportional to 475.14, 707.96 and 424.02

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Solution

The fourth proportional to 475.14, 707.96 and 424.02 is: 631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.14 : 707.96 = 424.02 : x
  2. Step 2: Convert to fraction form
    475.14/707.96 = 424.02/x
  3. Step 3: Cross multiply
    475.14x = 707.96 × 424.02
  4. Step 4: Simplify right side
    475.14x = 300,187.08
  5. Step 5: Solve for x
    x = 300,187.08/475.14
  6. Step 6: Final answer
    x = 631.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.