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Finding the Fourth Proportional to 534.14, 737.10 and 301.26

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Solution

The fourth proportional to 534.14, 737.10 and 301.26 is: 415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 737.10 = 301.26 : x
  2. Step 2: Convert to fraction form
    534.14/737.10 = 301.26/x
  3. Step 3: Cross multiply
    534.14x = 737.10 × 301.26
  4. Step 4: Simplify right side
    534.14x = 222,058.75
  5. Step 5: Solve for x
    x = 222,058.75/534.14
  6. Step 6: Final answer
    x = 415.73

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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.