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Finding the Fourth Proportional to 538.70, 742.91 and 414.36

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Solution

The fourth proportional to 538.70, 742.91 and 414.36 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.70 : 742.91 = 414.36 : x
  2. Step 2: Convert to fraction form
    538.70/742.91 = 414.36/x
  3. Step 3: Cross multiply
    538.70x = 742.91 × 414.36
  4. Step 4: Simplify right side
    538.70x = 307,830.12
  5. Step 5: Solve for x
    x = 307,830.12/538.70
  6. Step 6: Final answer
    x = 571.44

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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.