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Finding the Fourth Proportional to 390.48, 584.52 and 282.24

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Solution

The fourth proportional to 390.48, 584.52 and 282.24 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 584.52 = 282.24 : x
  2. Step 2: Convert to fraction form
    390.48/584.52 = 282.24/x
  3. Step 3: Cross multiply
    390.48x = 584.52 × 282.24
  4. Step 4: Simplify right side
    390.48x = 164,974.92
  5. Step 5: Solve for x
    x = 164,974.92/390.48
  6. Step 6: Final answer
    x = 422.49

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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.