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Finding the Fourth Proportional to 487.56, 672.74 and 280.52

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Solution

The fourth proportional to 487.56, 672.74 and 280.52 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.56 : 672.74 = 280.52 : x
  2. Step 2: Convert to fraction form
    487.56/672.74 = 280.52/x
  3. Step 3: Cross multiply
    487.56x = 672.74 × 280.52
  4. Step 4: Simplify right side
    487.56x = 188,717.02
  5. Step 5: Solve for x
    x = 188,717.02/487.56
  6. Step 6: Final answer
    x = 387.06

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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.