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Finding the Fourth Proportional to 457.63, 631.45 and 280.50

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Solution

The fourth proportional to 457.63, 631.45 and 280.50 is: 387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.63 : 631.45 = 280.50 : x
  2. Step 2: Convert to fraction form
    457.63/631.45 = 280.50/x
  3. Step 3: Cross multiply
    457.63x = 631.45 × 280.50
  4. Step 4: Simplify right side
    457.63x = 177,121.73
  5. Step 5: Solve for x
    x = 177,121.73/457.63
  6. Step 6: Final answer
    x = 387.04

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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.