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Finding the Fourth Proportional to 542.09, 747.41 and 367.13

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Solution

The fourth proportional to 542.09, 747.41 and 367.13 is: 506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 747.41 = 367.13 : x
  2. Step 2: Convert to fraction form
    542.09/747.41 = 367.13/x
  3. Step 3: Cross multiply
    542.09x = 747.41 × 367.13
  4. Step 4: Simplify right side
    542.09x = 274,391.06
  5. Step 5: Solve for x
    x = 274,391.06/542.09
  6. Step 6: Final answer
    x = 506.18

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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.