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Finding the Fourth Proportional to 542.67, 813.38 and 347.78

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Solution

The fourth proportional to 542.67, 813.38 and 347.78 is: 521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.67 : 813.38 = 347.78 : x
  2. Step 2: Convert to fraction form
    542.67/813.38 = 347.78/x
  3. Step 3: Cross multiply
    542.67x = 813.38 × 347.78
  4. Step 4: Simplify right side
    542.67x = 282,871.49
  5. Step 5: Solve for x
    x = 282,871.49/542.67
  6. Step 6: Final answer
    x = 521.26

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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.