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Finding the Fourth Proportional to 534.39, 737.49 and 301.53

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Solution

The fourth proportional to 534.39, 737.49 and 301.53 is: 416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.39 : 737.49 = 301.53 : x
  2. Step 2: Convert to fraction form
    534.39/737.49 = 301.53/x
  3. Step 3: Cross multiply
    534.39x = 737.49 × 301.53
  4. Step 4: Simplify right side
    534.39x = 222,375.36
  5. Step 5: Solve for x
    x = 222,375.36/534.39
  6. Step 6: Final answer
    x = 416.13

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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.