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Finding the Fourth Proportional to 457.20, 630.52 and 374.16

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Solution

The fourth proportional to 457.20, 630.52 and 374.16 is: 516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.20 : 630.52 = 374.16 : x
  2. Step 2: Convert to fraction form
    457.20/630.52 = 374.16/x
  3. Step 3: Cross multiply
    457.20x = 630.52 × 374.16
  4. Step 4: Simplify right side
    457.20x = 235,915.36
  5. Step 5: Solve for x
    x = 235,915.36/457.20
  6. Step 6: Final answer
    x = 516.00

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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.