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Finding the Fourth Proportional to 534.41, 737.50 and 301.54

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Solution

The fourth proportional to 534.41, 737.50 and 301.54 is: 416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.41 : 737.50 = 301.54 : x
  2. Step 2: Convert to fraction form
    534.41/737.50 = 301.54/x
  3. Step 3: Cross multiply
    534.41x = 737.50 × 301.54
  4. Step 4: Simplify right side
    534.41x = 222,382.06
  5. Step 5: Solve for x
    x = 222,382.06/534.41
  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.