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Finding the Fourth Proportional to 259.20, 390.42 and 235.44

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Solution

The fourth proportional to 259.20, 390.42 and 235.44 is: 354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 390.42 = 235.44 : x
  2. Step 2: Convert to fraction form
    259.20/390.42 = 235.44/x
  3. Step 3: Cross multiply
    259.20x = 390.42 × 235.44
  4. Step 4: Simplify right side
    259.20x = 91,920.48
  5. Step 5: Solve for x
    x = 91,920.48/259.20
  6. Step 6: Final answer
    x = 354.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.