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Finding the Fourth Proportional to 534.42, 737.46 and 301.53

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Solution

The fourth proportional to 534.42, 737.46 and 301.53 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.42 : 737.46 = 301.53 : x
  2. Step 2: Convert to fraction form
    534.42/737.46 = 301.53/x
  3. Step 3: Cross multiply
    534.42x = 737.46 × 301.53
  4. Step 4: Simplify right side
    534.42x = 222,366.31
  5. Step 5: Solve for x
    x = 222,366.31/534.42
  6. Step 6: Final answer
    x = 416.09

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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.