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Finding the Fourth Proportional to 541.87, 747.05 and 355.29

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Solution

The fourth proportional to 541.87, 747.05 and 355.29 is: 489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.87 : 747.05 = 355.29 : x
  2. Step 2: Convert to fraction form
    541.87/747.05 = 355.29/x
  3. Step 3: Cross multiply
    541.87x = 747.05 × 355.29
  4. Step 4: Simplify right side
    541.87x = 265,415.75
  5. Step 5: Solve for x
    x = 265,415.75/541.87
  6. Step 6: Final answer
    x = 489.82

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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.