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Finding the Fourth Proportional to 290.20, 400.78 and 259.68

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Solution

The fourth proportional to 290.20, 400.78 and 259.68 is: 358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.20 : 400.78 = 259.68 : x
  2. Step 2: Convert to fraction form
    290.20/400.78 = 259.68/x
  3. Step 3: Cross multiply
    290.20x = 400.78 × 259.68
  4. Step 4: Simplify right side
    290.20x = 104,074.55
  5. Step 5: Solve for x
    x = 104,074.55/290.20
  6. Step 6: Final answer
    x = 358.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.