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Finding the Fourth Proportional to 541.45, 747.48 and 414.42

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Solution

The fourth proportional to 541.45, 747.48 and 414.42 is: 572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.45 : 747.48 = 414.42 : x
  2. Step 2: Convert to fraction form
    541.45/747.48 = 414.42/x
  3. Step 3: Cross multiply
    541.45x = 747.48 × 414.42
  4. Step 4: Simplify right side
    541.45x = 309,770.66
  5. Step 5: Solve for x
    x = 309,770.66/541.45
  6. Step 6: Final answer
    x = 572.11

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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.