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Finding the Fourth Proportional to 663.40, 994.70 and 339.40

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Solution

The fourth proportional to 663.40, 994.70 and 339.40 is: 508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.40 : 994.70 = 339.40 : x
  2. Step 2: Convert to fraction form
    663.40/994.70 = 339.40/x
  3. Step 3: Cross multiply
    663.40x = 994.70 × 339.40
  4. Step 4: Simplify right side
    663.40x = 337,601.18
  5. Step 5: Solve for x
    x = 337,601.18/663.40
  6. Step 6: Final answer
    x = 508.90

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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.