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Finding the Fourth Proportional to 542.19, 748.36 and 486.84

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Solution

The fourth proportional to 542.19, 748.36 and 486.84 is: 671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.19 : 748.36 = 486.84 : x
  2. Step 2: Convert to fraction form
    542.19/748.36 = 486.84/x
  3. Step 3: Cross multiply
    542.19x = 748.36 × 486.84
  4. Step 4: Simplify right side
    542.19x = 364,330.05
  5. Step 5: Solve for x
    x = 364,330.05/542.19
  6. Step 6: Final answer
    x = 671.96

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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.