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Finding the Fourth Proportional to 541.91, 747.68 and 320.87

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Solution

The fourth proportional to 541.91, 747.68 and 320.87 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.91 : 747.68 = 320.87 : x
  2. Step 2: Convert to fraction form
    541.91/747.68 = 320.87/x
  3. Step 3: Cross multiply
    541.91x = 747.68 × 320.87
  4. Step 4: Simplify right side
    541.91x = 239,902.74
  5. Step 5: Solve for x
    x = 239,902.74/541.91
  6. Step 6: Final answer
    x = 442.70

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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.