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Finding the Fourth Proportional to 962.20, 1,443.27 and 345.94

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Solution

The fourth proportional to 962.20, 1,443.27 and 345.94 is: 518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.20 : 1,443.27 = 345.94 : x
  2. Step 2: Convert to fraction form
    962.20/1,443.27 = 345.94/x
  3. Step 3: Cross multiply
    962.20x = 1,443.27 × 345.94
  4. Step 4: Simplify right side
    962.20x = 499,284.82
  5. Step 5: Solve for x
    x = 499,284.82/962.20
  6. Step 6: Final answer
    x = 518.90

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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.