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Finding the Fourth Proportional to 457.80, 631.46 and 282.92

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Solution

The fourth proportional to 457.80, 631.46 and 282.92 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 631.46 = 282.92 : x
  2. Step 2: Convert to fraction form
    457.80/631.46 = 282.92/x
  3. Step 3: Cross multiply
    457.80x = 631.46 × 282.92
  4. Step 4: Simplify right side
    457.80x = 178,652.66
  5. Step 5: Solve for x
    x = 178,652.66/457.80
  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.