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Finding the Fourth Proportional to 343.64, 513.10 and 282.88

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Solution

The fourth proportional to 343.64, 513.10 and 282.88 is: 422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.64 : 513.10 = 282.88 : x
  2. Step 2: Convert to fraction form
    343.64/513.10 = 282.88/x
  3. Step 3: Cross multiply
    343.64x = 513.10 × 282.88
  4. Step 4: Simplify right side
    343.64x = 145,145.73
  5. Step 5: Solve for x
    x = 145,145.73/343.64
  6. Step 6: Final answer
    x = 422.38

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