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Finding the Fourth Proportional to 438.76, 605.68 and 411.12

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Solution

The fourth proportional to 438.76, 605.68 and 411.12 is: 567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.76 : 605.68 = 411.12 : x
  2. Step 2: Convert to fraction form
    438.76/605.68 = 411.12/x
  3. Step 3: Cross multiply
    438.76x = 605.68 × 411.12
  4. Step 4: Simplify right side
    438.76x = 249,007.16
  5. Step 5: Solve for x
    x = 249,007.16/438.76
  6. Step 6: Final answer
    x = 567.52

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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.