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Finding the Fourth Proportional to 541.60, 747.12 and 410.38

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Solution

The fourth proportional to 541.60, 747.12 and 410.38 is: 566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.60 : 747.12 = 410.38 : x
  2. Step 2: Convert to fraction form
    541.60/747.12 = 410.38/x
  3. Step 3: Cross multiply
    541.60x = 747.12 × 410.38
  4. Step 4: Simplify right side
    541.60x = 306,603.11
  5. Step 5: Solve for x
    x = 306,603.11/541.60
  6. Step 6: Final answer
    x = 566.11

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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.