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Finding the Fourth Proportional to 343.52, 474.12 and 314.24

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Solution

The fourth proportional to 343.52, 474.12 and 314.24 is: 433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 474.12 = 314.24 : x
  2. Step 2: Convert to fraction form
    343.52/474.12 = 314.24/x
  3. Step 3: Cross multiply
    343.52x = 474.12 × 314.24
  4. Step 4: Simplify right side
    343.52x = 148,987.47
  5. Step 5: Solve for x
    x = 148,987.47/343.52
  6. Step 6: Final answer
    x = 433.71

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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.