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Finding the Fourth Proportional to 541.12, 746.68 and 409.88

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Solution

The fourth proportional to 541.12, 746.68 and 409.88 is: 565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.12 : 746.68 = 409.88 : x
  2. Step 2: Convert to fraction form
    541.12/746.68 = 409.88/x
  3. Step 3: Cross multiply
    541.12x = 746.68 × 409.88
  4. Step 4: Simplify right side
    541.12x = 306,049.20
  5. Step 5: Solve for x
    x = 306,049.20/541.12
  6. Step 6: Final answer
    x = 565.58

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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.