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Finding the Fourth Proportional to 411.66, 567.69 and 280.62

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Solution

The fourth proportional to 411.66, 567.69 and 280.62 is: 386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.66 : 567.69 = 280.62 : x
  2. Step 2: Convert to fraction form
    411.66/567.69 = 280.62/x
  3. Step 3: Cross multiply
    411.66x = 567.69 × 280.62
  4. Step 4: Simplify right side
    411.66x = 159,305.17
  5. Step 5: Solve for x
    x = 159,305.17/411.66
  6. Step 6: Final answer
    x = 386.98

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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.