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Finding the Fourth Proportional to 542, 748.57 and 367.04

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Solution

The fourth proportional to 542, 748.57 and 367.04 is: 506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 748.57 = 367.04 : x
  2. Step 2: Convert to fraction form
    542/748.57 = 367.04/x
  3. Step 3: Cross multiply
    542x = 748.57 × 367.04
  4. Step 4: Simplify right side
    542x = 274,755.13
  5. Step 5: Solve for x
    x = 274,755.13/542
  6. Step 6: Final answer
    x = 506.93

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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.