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Finding the Fourth Proportional to 487.58, 731.39 and 281.77

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Solution

The fourth proportional to 487.58, 731.39 and 281.77 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.58 : 731.39 = 281.77 : x
  2. Step 2: Convert to fraction form
    487.58/731.39 = 281.77/x
  3. Step 3: Cross multiply
    487.58x = 731.39 × 281.77
  4. Step 4: Simplify right side
    487.58x = 206,080.52
  5. Step 5: Solve for x
    x = 206,080.52/487.58
  6. Step 6: Final answer
    x = 422.66

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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.