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Finding the Fourth Proportional to 542.51, 748.55 and 321.48

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Solution

The fourth proportional to 542.51, 748.55 and 321.48 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.51 : 748.55 = 321.48 : x
  2. Step 2: Convert to fraction form
    542.51/748.55 = 321.48/x
  3. Step 3: Cross multiply
    542.51x = 748.55 × 321.48
  4. Step 4: Simplify right side
    542.51x = 240,642.25
  5. Step 5: Solve for x
    x = 240,642.25/542.51
  6. Step 6: Final answer
    x = 443.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.