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Finding the Fourth Proportional to 438.31, 602.02 and 411.20

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Solution

The fourth proportional to 438.31, 602.02 and 411.20 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.31 : 602.02 = 411.20 : x
  2. Step 2: Convert to fraction form
    438.31/602.02 = 411.20/x
  3. Step 3: Cross multiply
    438.31x = 602.02 × 411.20
  4. Step 4: Simplify right side
    438.31x = 247,551.10
  5. Step 5: Solve for x
    x = 247,551.10/438.31
  6. Step 6: Final answer
    x = 564.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.