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Finding the Fourth Proportional to 439.08, 657.90 and 207.42

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Solution

The fourth proportional to 439.08, 657.90 and 207.42 is: 310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.08 : 657.90 = 207.42 : x
  2. Step 2: Convert to fraction form
    439.08/657.90 = 207.42/x
  3. Step 3: Cross multiply
    439.08x = 657.90 × 207.42
  4. Step 4: Simplify right side
    439.08x = 136,461.62
  5. Step 5: Solve for x
    x = 136,461.62/439.08
  6. Step 6: Final answer
    x = 310.79

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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.