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Finding the Fourth Proportional to 541.76, 747.66 and 320.68

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Solution

The fourth proportional to 541.76, 747.66 and 320.68 is: 442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 747.66 = 320.68 : x
  2. Step 2: Convert to fraction form
    541.76/747.66 = 320.68/x
  3. Step 3: Cross multiply
    541.76x = 747.66 × 320.68
  4. Step 4: Simplify right side
    541.76x = 239,759.61
  5. Step 5: Solve for x
    x = 239,759.61/541.76
  6. Step 6: Final answer
    x = 442.56

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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.