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Finding the Fourth Proportional to 403.56, 604.72 and 159.88

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Solution

The fourth proportional to 403.56, 604.72 and 159.88 is: 239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.56 : 604.72 = 159.88 : x
  2. Step 2: Convert to fraction form
    403.56/604.72 = 159.88/x
  3. Step 3: Cross multiply
    403.56x = 604.72 × 159.88
  4. Step 4: Simplify right side
    403.56x = 96,682.63
  5. Step 5: Solve for x
    x = 96,682.63/403.56
  6. Step 6: Final answer
    x = 239.57

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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.