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Finding the Fourth Proportional to 542.05, 747.73 and 320.95

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Solution

The fourth proportional to 542.05, 747.73 and 320.95 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.05 : 747.73 = 320.95 : x
  2. Step 2: Convert to fraction form
    542.05/747.73 = 320.95/x
  3. Step 3: Cross multiply
    542.05x = 747.73 × 320.95
  4. Step 4: Simplify right side
    542.05x = 239,984.88
  5. Step 5: Solve for x
    x = 239,984.88/542.05
  6. Step 6: Final answer
    x = 442.74

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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.