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Finding the Fourth Proportional to 997.66, 1,496.28 and 348.46

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Solution

The fourth proportional to 997.66, 1,496.28 and 348.46 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.66 : 1,496.28 = 348.46 : x
  2. Step 2: Convert to fraction form
    997.66/1,496.28 = 348.46/x
  3. Step 3: Cross multiply
    997.66x = 1,496.28 × 348.46
  4. Step 4: Simplify right side
    997.66x = 521,393.73
  5. Step 5: Solve for x
    x = 521,393.73/997.66
  6. Step 6: Final answer
    x = 522.62

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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.