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Finding the Fourth Proportional to 456.14, 630.11 and 439.29

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Solution

The fourth proportional to 456.14, 630.11 and 439.29 is: 606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 630.11 = 439.29 : x
  2. Step 2: Convert to fraction form
    456.14/630.11 = 439.29/x
  3. Step 3: Cross multiply
    456.14x = 630.11 × 439.29
  4. Step 4: Simplify right side
    456.14x = 276,801.02
  5. Step 5: Solve for x
    x = 276,801.02/456.14
  6. Step 6: Final answer
    x = 606.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.