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Finding the Fourth Proportional to 559.96, 839.92 and 235.10

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Solution

The fourth proportional to 559.96, 839.92 and 235.10 is: 352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.96 : 839.92 = 235.10 : x
  2. Step 2: Convert to fraction form
    559.96/839.92 = 235.10/x
  3. Step 3: Cross multiply
    559.96x = 839.92 × 235.10
  4. Step 4: Simplify right side
    559.96x = 197,467.14
  5. Step 5: Solve for x
    x = 197,467.14/559.96
  6. Step 6: Final answer
    x = 352.64

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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.