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Finding the Fourth Proportional to 896.02, 1,343.80 and 347.90

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Solution

The fourth proportional to 896.02, 1,343.80 and 347.90 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.02 : 1,343.80 = 347.90 : x
  2. Step 2: Convert to fraction form
    896.02/1,343.80 = 347.90/x
  3. Step 3: Cross multiply
    896.02x = 1,343.80 × 347.90
  4. Step 4: Simplify right side
    896.02x = 467,508.02
  5. Step 5: Solve for x
    x = 467,508.02/896.02
  6. Step 6: Final answer
    x = 521.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.