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Finding the Fourth Proportional to 438.72, 659.36 and 406.08

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Solution

The fourth proportional to 438.72, 659.36 and 406.08 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.72 : 659.36 = 406.08 : x
  2. Step 2: Convert to fraction form
    438.72/659.36 = 406.08/x
  3. Step 3: Cross multiply
    438.72x = 659.36 × 406.08
  4. Step 4: Simplify right side
    438.72x = 267,752.91
  5. Step 5: Solve for x
    x = 267,752.91/438.72
  6. Step 6: Final answer
    x = 610.30

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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.