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Finding the Fourth Proportional to 542.90, 749.05 and 321.77

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Solution

The fourth proportional to 542.90, 749.05 and 321.77 is: 443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.90 : 749.05 = 321.77 : x
  2. Step 2: Convert to fraction form
    542.90/749.05 = 321.77/x
  3. Step 3: Cross multiply
    542.90x = 749.05 × 321.77
  4. Step 4: Simplify right side
    542.90x = 241,022.89
  5. Step 5: Solve for x
    x = 241,022.89/542.90
  6. Step 6: Final answer
    x = 443.95

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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.