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Finding the Fourth Proportional to 663.57, 994.98 and 355.35

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Solution

The fourth proportional to 663.57, 994.98 and 355.35 is: 532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 994.98 = 355.35 : x
  2. Step 2: Convert to fraction form
    663.57/994.98 = 355.35/x
  3. Step 3: Cross multiply
    663.57x = 994.98 × 355.35
  4. Step 4: Simplify right side
    663.57x = 353,566.14
  5. Step 5: Solve for x
    x = 353,566.14/663.57
  6. Step 6: Final answer
    x = 532.82

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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.