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Finding the Fourth Proportional to 457.46, 631.26 and 282.80

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Solution

The fourth proportional to 457.46, 631.26 and 282.80 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.46 : 631.26 = 282.80 : x
  2. Step 2: Convert to fraction form
    457.46/631.26 = 282.80/x
  3. Step 3: Cross multiply
    457.46x = 631.26 × 282.80
  4. Step 4: Simplify right side
    457.46x = 178,520.33
  5. Step 5: Solve for x
    x = 178,520.33/457.46
  6. Step 6: Final answer
    x = 390.24

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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.