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Finding the Fourth Proportional to 534.13, 737.14 and 376.82

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Solution

The fourth proportional to 534.13, 737.14 and 376.82 is: 520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.13 : 737.14 = 376.82 : x
  2. Step 2: Convert to fraction form
    534.13/737.14 = 376.82/x
  3. Step 3: Cross multiply
    534.13x = 737.14 × 376.82
  4. Step 4: Simplify right side
    534.13x = 277,767.94
  5. Step 5: Solve for x
    x = 277,767.94/534.13
  6. Step 6: Final answer
    x = 520.04

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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.