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Finding the Fourth Proportional to 457.87, 632.16 and 374.05

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Solution

The fourth proportional to 457.87, 632.16 and 374.05 is: 516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.87 : 632.16 = 374.05 : x
  2. Step 2: Convert to fraction form
    457.87/632.16 = 374.05/x
  3. Step 3: Cross multiply
    457.87x = 632.16 × 374.05
  4. Step 4: Simplify right side
    457.87x = 236,461.70
  5. Step 5: Solve for x
    x = 236,461.70/457.87
  6. Step 6: Final answer
    x = 516.43

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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.