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Finding the Fourth Proportional to 663.09, 994.81 and 354.70

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Solution

The fourth proportional to 663.09, 994.81 and 354.70 is: 532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.09 : 994.81 = 354.70 : x
  2. Step 2: Convert to fraction form
    663.09/994.81 = 354.70/x
  3. Step 3: Cross multiply
    663.09x = 994.81 × 354.70
  4. Step 4: Simplify right side
    663.09x = 352,859.11
  5. Step 5: Solve for x
    x = 352,859.11/663.09
  6. Step 6: Final answer
    x = 532.14

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Why These Related Problems?

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