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Finding the Fourth Proportional to 541.56, 747 and 355.08

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Solution

The fourth proportional to 541.56, 747 and 355.08 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 747 = 355.08 : x
  2. Step 2: Convert to fraction form
    541.56/747 = 355.08/x
  3. Step 3: Cross multiply
    541.56x = 747 × 355.08
  4. Step 4: Simplify right side
    541.56x = 265,244.76
  5. Step 5: Solve for x
    x = 265,244.76/541.56
  6. Step 6: Final answer
    x = 489.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.