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Finding the Fourth Proportional to 487.77, 731.57 and 255.93

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Solution

The fourth proportional to 487.77, 731.57 and 255.93 is: 383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.77 : 731.57 = 255.93 : x
  2. Step 2: Convert to fraction form
    487.77/731.57 = 255.93/x
  3. Step 3: Cross multiply
    487.77x = 731.57 × 255.93
  4. Step 4: Simplify right side
    487.77x = 187,229.43
  5. Step 5: Solve for x
    x = 187,229.43/487.77
  6. Step 6: Final answer
    x = 383.85

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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.