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Finding the Fourth Proportional to 487.62, 672.94 and 280.62

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Solution

The fourth proportional to 487.62, 672.94 and 280.62 is: 387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.62 : 672.94 = 280.62 : x
  2. Step 2: Convert to fraction form
    487.62/672.94 = 280.62/x
  3. Step 3: Cross multiply
    487.62x = 672.94 × 280.62
  4. Step 4: Simplify right side
    487.62x = 188,840.42
  5. Step 5: Solve for x
    x = 188,840.42/487.62
  6. Step 6: Final answer
    x = 387.27

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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.