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Finding the Fourth Proportional to 542.19, 746.48 and 464.43

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Solution

The fourth proportional to 542.19, 746.48 and 464.43 is: 639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.19 : 746.48 = 464.43 : x
  2. Step 2: Convert to fraction form
    542.19/746.48 = 464.43/x
  3. Step 3: Cross multiply
    542.19x = 746.48 × 464.43
  4. Step 4: Simplify right side
    542.19x = 346,685.38
  5. Step 5: Solve for x
    x = 346,685.38/542.19
  6. Step 6: Final answer
    x = 639.42

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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.