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Finding the Fourth Proportional to 534.30, 737.24 and 337.66

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Solution

The fourth proportional to 534.30, 737.24 and 337.66 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 737.24 = 337.66 : x
  2. Step 2: Convert to fraction form
    534.30/737.24 = 337.66/x
  3. Step 3: Cross multiply
    534.30x = 737.24 × 337.66
  4. Step 4: Simplify right side
    534.30x = 248,936.46
  5. Step 5: Solve for x
    x = 248,936.46/534.30
  6. Step 6: Final answer
    x = 465.91

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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.