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Finding the Fourth Proportional to 534.42, 737.89 and 461.52

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Solution

The fourth proportional to 534.42, 737.89 and 461.52 is: 637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.42 : 737.89 = 461.52 : x
  2. Step 2: Convert to fraction form
    534.42/737.89 = 461.52/x
  3. Step 3: Cross multiply
    534.42x = 737.89 × 461.52
  4. Step 4: Simplify right side
    534.42x = 340,550.99
  5. Step 5: Solve for x
    x = 340,550.99/534.42
  6. Step 6: Final answer
    x = 637.23

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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.