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Finding the Fourth Proportional to 534.75, 737.42 and 482.37

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Solution

The fourth proportional to 534.75, 737.42 and 482.37 is: 665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 737.42 = 482.37 : x
  2. Step 2: Convert to fraction form
    534.75/737.42 = 482.37/x
  3. Step 3: Cross multiply
    534.75x = 737.42 × 482.37
  4. Step 4: Simplify right side
    534.75x = 355,706.87
  5. Step 5: Solve for x
    x = 355,706.87/534.75
  6. Step 6: Final answer
    x = 665.18

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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.