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Finding the Fourth Proportional to 343.23, 517.17 and 283.70

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Solution

The fourth proportional to 343.23, 517.17 and 283.70 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 517.17 = 283.70 : x
  2. Step 2: Convert to fraction form
    343.23/517.17 = 283.70/x
  3. Step 3: Cross multiply
    343.23x = 517.17 × 283.70
  4. Step 4: Simplify right side
    343.23x = 146,717.12
  5. Step 5: Solve for x
    x = 146,717.12/343.23
  6. Step 6: Final answer
    x = 427.46

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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.