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Finding the Fourth Proportional to 343.52, 512.30 and 310.71

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Solution

The fourth proportional to 343.52, 512.30 and 310.71 is: 463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 512.30 = 310.71 : x
  2. Step 2: Convert to fraction form
    343.52/512.30 = 310.71/x
  3. Step 3: Cross multiply
    343.52x = 512.30 × 310.71
  4. Step 4: Simplify right side
    343.52x = 159,175.18
  5. Step 5: Solve for x
    x = 159,175.18/343.52
  6. Step 6: Final answer
    x = 463.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.