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Finding the Fourth Proportional to 541.44, 747.27 and 410.22

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Solution

The fourth proportional to 541.44, 747.27 and 410.22 is: 566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 747.27 = 410.22 : x
  2. Step 2: Convert to fraction form
    541.44/747.27 = 410.22/x
  3. Step 3: Cross multiply
    541.44x = 747.27 × 410.22
  4. Step 4: Simplify right side
    541.44x = 306,545.10
  5. Step 5: Solve for x
    x = 306,545.10/541.44
  6. Step 6: Final answer
    x = 566.17

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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.