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Finding the Fourth Proportional to 457.96, 632.64 and 423.04

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Solution

The fourth proportional to 457.96, 632.64 and 423.04 is: 584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.96 : 632.64 = 423.04 : x
  2. Step 2: Convert to fraction form
    457.96/632.64 = 423.04/x
  3. Step 3: Cross multiply
    457.96x = 632.64 × 423.04
  4. Step 4: Simplify right side
    457.96x = 267,632.03
  5. Step 5: Solve for x
    x = 267,632.03/457.96
  6. Step 6: Final answer
    x = 584.40

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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.