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Finding the Fourth Proportional to 457.10, 630.92 and 282.35

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Solution

The fourth proportional to 457.10, 630.92 and 282.35 is: 389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.10 : 630.92 = 282.35 : x
  2. Step 2: Convert to fraction form
    457.10/630.92 = 282.35/x
  3. Step 3: Cross multiply
    457.10x = 630.92 × 282.35
  4. Step 4: Simplify right side
    457.10x = 178,137.11
  5. Step 5: Solve for x
    x = 178,137.11/457.10
  6. Step 6: Final answer
    x = 389.71

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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.