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Finding the Fourth Proportional to 542.09, 747.93 and 320.96

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Solution

The fourth proportional to 542.09, 747.93 and 320.96 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 747.93 = 320.96 : x
  2. Step 2: Convert to fraction form
    542.09/747.93 = 320.96/x
  3. Step 3: Cross multiply
    542.09x = 747.93 × 320.96
  4. Step 4: Simplify right side
    542.09x = 240,055.61
  5. Step 5: Solve for x
    x = 240,055.61/542.09
  6. Step 6: Final answer
    x = 442.83

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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.