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Finding the Fourth Proportional to 297.26, 410.32 and 255.64

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Solution

The fourth proportional to 297.26, 410.32 and 255.64 is: 352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.26 : 410.32 = 255.64 : x
  2. Step 2: Convert to fraction form
    297.26/410.32 = 255.64/x
  3. Step 3: Cross multiply
    297.26x = 410.32 × 255.64
  4. Step 4: Simplify right side
    297.26x = 104,894.20
  5. Step 5: Solve for x
    x = 104,894.20/297.26
  6. Step 6: Final answer
    x = 352.87

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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.