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Finding the Fourth Proportional to 541.87, 747.06 and 408.52

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Solution

The fourth proportional to 541.87, 747.06 and 408.52 is: 563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.87 : 747.06 = 408.52 : x
  2. Step 2: Convert to fraction form
    541.87/747.06 = 408.52/x
  3. Step 3: Cross multiply
    541.87x = 747.06 × 408.52
  4. Step 4: Simplify right side
    541.87x = 305,188.95
  5. Step 5: Solve for x
    x = 305,188.95/541.87
  6. Step 6: Final answer
    x = 563.21

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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.