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Finding the Fourth Proportional to 457.05, 630.71 and 282.42

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Solution

The fourth proportional to 457.05, 630.71 and 282.42 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 630.71 = 282.42 : x
  2. Step 2: Convert to fraction form
    457.05/630.71 = 282.42/x
  3. Step 3: Cross multiply
    457.05x = 630.71 × 282.42
  4. Step 4: Simplify right side
    457.05x = 178,123.71
  5. Step 5: Solve for x
    x = 178,123.71/457.05
  6. Step 6: Final answer
    x = 389.72

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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.