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Finding the Fourth Proportional to 542.75, 748.98 and 294.06

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Solution

The fourth proportional to 542.75, 748.98 and 294.06 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 748.98 = 294.06 : x
  2. Step 2: Convert to fraction form
    542.75/748.98 = 294.06/x
  3. Step 3: Cross multiply
    542.75x = 748.98 × 294.06
  4. Step 4: Simplify right side
    542.75x = 220,247.67
  5. Step 5: Solve for x
    x = 220,247.67/542.75
  6. Step 6: Final answer
    x = 405.80

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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.