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Finding the Fourth Proportional to 451.02, 618.53 and 432.31

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Solution

The fourth proportional to 451.02, 618.53 and 432.31 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.02 : 618.53 = 432.31 : x
  2. Step 2: Convert to fraction form
    451.02/618.53 = 432.31/x
  3. Step 3: Cross multiply
    451.02x = 618.53 × 432.31
  4. Step 4: Simplify right side
    451.02x = 267,396.70
  5. Step 5: Solve for x
    x = 267,396.70/451.02
  6. Step 6: Final answer
    x = 592.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.