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Finding the Fourth Proportional to 343.34, 517.40 and 310.85

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Solution

The fourth proportional to 343.34, 517.40 and 310.85 is: 468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.34 : 517.40 = 310.85 : x
  2. Step 2: Convert to fraction form
    343.34/517.40 = 310.85/x
  3. Step 3: Cross multiply
    343.34x = 517.40 × 310.85
  4. Step 4: Simplify right side
    343.34x = 160,833.79
  5. Step 5: Solve for x
    x = 160,833.79/343.34
  6. Step 6: Final answer
    x = 468.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.