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Finding the Fourth Proportional to 402.90, 604.38 and 159.45

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Solution

The fourth proportional to 402.90, 604.38 and 159.45 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.90 : 604.38 = 159.45 : x
  2. Step 2: Convert to fraction form
    402.90/604.38 = 159.45/x
  3. Step 3: Cross multiply
    402.90x = 604.38 × 159.45
  4. Step 4: Simplify right side
    402.90x = 96,368.39
  5. Step 5: Solve for x
    x = 96,368.39/402.90
  6. Step 6: Final answer
    x = 239.19

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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.