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Finding the Fourth Proportional to 477.50, 658.74 and 280.90

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Solution

The fourth proportional to 477.50, 658.74 and 280.90 is: 387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 658.74 = 280.90 : x
  2. Step 2: Convert to fraction form
    477.50/658.74 = 280.90/x
  3. Step 3: Cross multiply
    477.50x = 658.74 × 280.90
  4. Step 4: Simplify right side
    477.50x = 185,040.07
  5. Step 5: Solve for x
    x = 185,040.07/477.50
  6. Step 6: Final answer
    x = 387.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.