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Finding the Fourth Proportional to 542.62, 813.23 and 347.55

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Solution

The fourth proportional to 542.62, 813.23 and 347.55 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.62 : 813.23 = 347.55 : x
  2. Step 2: Convert to fraction form
    542.62/813.23 = 347.55/x
  3. Step 3: Cross multiply
    542.62x = 813.23 × 347.55
  4. Step 4: Simplify right side
    542.62x = 282,638.09
  5. Step 5: Solve for x
    x = 282,638.09/542.62
  6. Step 6: Final answer
    x = 520.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.