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Finding the Fourth Proportional to 541.76, 747.66 and 308.92

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Solution

The fourth proportional to 541.76, 747.66 and 308.92 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 747.66 = 308.92 : x
  2. Step 2: Convert to fraction form
    541.76/747.66 = 308.92/x
  3. Step 3: Cross multiply
    541.76x = 747.66 × 308.92
  4. Step 4: Simplify right side
    541.76x = 230,967.13
  5. Step 5: Solve for x
    x = 230,967.13/541.76
  6. Step 6: Final answer
    x = 426.33

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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.