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Finding the Fourth Proportional to 542.36, 748.56 and 368

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Solution

The fourth proportional to 542.36, 748.56 and 368 is: 507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 748.56 = 368 : x
  2. Step 2: Convert to fraction form
    542.36/748.56 = 368/x
  3. Step 3: Cross multiply
    542.36x = 748.56 × 368
  4. Step 4: Simplify right side
    542.36x = 275,470.08
  5. Step 5: Solve for x
    x = 275,470.08/542.36
  6. Step 6: Final answer
    x = 507.91

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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.