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Finding the Fourth Proportional to 457.76, 631.53 and 280.77

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Solution

The fourth proportional to 457.76, 631.53 and 280.77 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.76 : 631.53 = 280.77 : x
  2. Step 2: Convert to fraction form
    457.76/631.53 = 280.77/x
  3. Step 3: Cross multiply
    457.76x = 631.53 × 280.77
  4. Step 4: Simplify right side
    457.76x = 177,314.68
  5. Step 5: Solve for x
    x = 177,314.68/457.76
  6. Step 6: Final answer
    x = 387.36

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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.