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Finding the Fourth Proportional to 457.72, 631.78 and 282.96

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Solution

The fourth proportional to 457.72, 631.78 and 282.96 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.72 : 631.78 = 282.96 : x
  2. Step 2: Convert to fraction form
    457.72/631.78 = 282.96/x
  3. Step 3: Cross multiply
    457.72x = 631.78 × 282.96
  4. Step 4: Simplify right side
    457.72x = 178,768.47
  5. Step 5: Solve for x
    x = 178,768.47/457.72
  6. Step 6: Final answer
    x = 390.56

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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.