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Finding the Fourth Proportional to 534.16, 737.28 and 348.16

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Solution

The fourth proportional to 534.16, 737.28 and 348.16 is: 480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 737.28 = 348.16 : x
  2. Step 2: Convert to fraction form
    534.16/737.28 = 348.16/x
  3. Step 3: Cross multiply
    534.16x = 737.28 × 348.16
  4. Step 4: Simplify right side
    534.16x = 256,691.40
  5. Step 5: Solve for x
    x = 256,691.40/534.16
  6. Step 6: Final answer
    x = 480.55

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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.