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Finding the Fourth Proportional to 534.32, 737.37 and 301.44

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Solution

The fourth proportional to 534.32, 737.37 and 301.44 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 737.37 = 301.44 : x
  2. Step 2: Convert to fraction form
    534.32/737.37 = 301.44/x
  3. Step 3: Cross multiply
    534.32x = 737.37 × 301.44
  4. Step 4: Simplify right side
    534.32x = 222,271.31
  5. Step 5: Solve for x
    x = 222,271.31/534.32
  6. Step 6: Final answer
    x = 415.99

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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.