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Finding the Fourth Proportional to 392.14, 587.00 and 282.03

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Solution

The fourth proportional to 392.14, 587.00 and 282.03 is: 422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.14 : 587.00 = 282.03 : x
  2. Step 2: Convert to fraction form
    392.14/587.00 = 282.03/x
  3. Step 3: Cross multiply
    392.14x = 587.00 × 282.03
  4. Step 4: Simplify right side
    392.14x = 165,551.83
  5. Step 5: Solve for x
    x = 165,551.83/392.14
  6. Step 6: Final answer
    x = 422.17

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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.