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Finding the Fourth Proportional to 457.25, 631.55 and 332.71

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Solution

The fourth proportional to 457.25, 631.55 and 332.71 is: 459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 631.55 = 332.71 : x
  2. Step 2: Convert to fraction form
    457.25/631.55 = 332.71/x
  3. Step 3: Cross multiply
    457.25x = 631.55 × 332.71
  4. Step 4: Simplify right side
    457.25x = 210,120.38
  5. Step 5: Solve for x
    x = 210,120.38/457.25
  6. Step 6: Final answer
    x = 459.54

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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.