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Finding the Fourth Proportional to 541.97, 748.23 and 415.70

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Solution

The fourth proportional to 541.97, 748.23 and 415.70 is: 573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.97 : 748.23 = 415.70 : x
  2. Step 2: Convert to fraction form
    541.97/748.23 = 415.70/x
  3. Step 3: Cross multiply
    541.97x = 748.23 × 415.70
  4. Step 4: Simplify right side
    541.97x = 311,036.72
  5. Step 5: Solve for x
    x = 311,036.72/541.97
  6. Step 6: Final answer
    x = 573.90

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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.