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Finding the Fourth Proportional to 534.38, 737.66 and 348.03

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Solution

The fourth proportional to 534.38, 737.66 and 348.03 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.38 : 737.66 = 348.03 : x
  2. Step 2: Convert to fraction form
    534.38/737.66 = 348.03/x
  3. Step 3: Cross multiply
    534.38x = 737.66 × 348.03
  4. Step 4: Simplify right side
    534.38x = 256,722.38
  5. Step 5: Solve for x
    x = 256,722.38/534.38
  6. Step 6: Final answer
    x = 480.42

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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.