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Finding the Fourth Proportional to 403.60, 604.99 and 159.79

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Solution

The fourth proportional to 403.60, 604.99 and 159.79 is: 239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.60 : 604.99 = 159.79 : x
  2. Step 2: Convert to fraction form
    403.60/604.99 = 159.79/x
  3. Step 3: Cross multiply
    403.60x = 604.99 × 159.79
  4. Step 4: Simplify right side
    403.60x = 96,670.55
  5. Step 5: Solve for x
    x = 96,670.55/403.60
  6. Step 6: Final answer
    x = 239.52

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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.