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Finding the Fourth Proportional to 390.62, 584.46 and 282.17

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Solution

The fourth proportional to 390.62, 584.46 and 282.17 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.62 : 584.46 = 282.17 : x
  2. Step 2: Convert to fraction form
    390.62/584.46 = 282.17/x
  3. Step 3: Cross multiply
    390.62x = 584.46 × 282.17
  4. Step 4: Simplify right side
    390.62x = 164,917.08
  5. Step 5: Solve for x
    x = 164,917.08/390.62
  6. Step 6: Final answer
    x = 422.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.