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Finding the Fourth Proportional to 541.92, 747.63 and 409.56

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Solution

The fourth proportional to 541.92, 747.63 and 409.56 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 747.63 = 409.56 : x
  2. Step 2: Convert to fraction form
    541.92/747.63 = 409.56/x
  3. Step 3: Cross multiply
    541.92x = 747.63 × 409.56
  4. Step 4: Simplify right side
    541.92x = 306,196.54
  5. Step 5: Solve for x
    x = 306,196.54/541.92
  6. Step 6: Final answer
    x = 565.02

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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.