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Finding the Fourth Proportional to 663.67, 994.39 and 432.21

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Solution

The fourth proportional to 663.67, 994.39 and 432.21 is: 647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.67 : 994.39 = 432.21 : x
  2. Step 2: Convert to fraction form
    663.67/994.39 = 432.21/x
  3. Step 3: Cross multiply
    663.67x = 994.39 × 432.21
  4. Step 4: Simplify right side
    663.67x = 429,784.22
  5. Step 5: Solve for x
    x = 429,784.22/663.67
  6. Step 6: Final answer
    x = 647.59

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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.