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Finding the Fourth Proportional to 392.50, 587.76 and 284.14

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Solution

The fourth proportional to 392.50, 587.76 and 284.14 is: 425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.50 : 587.76 = 284.14 : x
  2. Step 2: Convert to fraction form
    392.50/587.76 = 284.14/x
  3. Step 3: Cross multiply
    392.50x = 587.76 × 284.14
  4. Step 4: Simplify right side
    392.50x = 167,006.13
  5. Step 5: Solve for x
    x = 167,006.13/392.50
  6. Step 6: Final answer
    x = 425.49

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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.