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Finding the Fourth Proportional to 538.60, 742.22 and 414.26

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Solution

The fourth proportional to 538.60, 742.22 and 414.26 is: 570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.60 : 742.22 = 414.26 : x
  2. Step 2: Convert to fraction form
    538.60/742.22 = 414.26/x
  3. Step 3: Cross multiply
    538.60x = 742.22 × 414.26
  4. Step 4: Simplify right side
    538.60x = 307,472.06
  5. Step 5: Solve for x
    x = 307,472.06/538.60
  6. Step 6: Final answer
    x = 570.87

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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.