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Finding the Fourth Proportional to 297.20, 409.32 and 247.64

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Solution

The fourth proportional to 297.20, 409.32 and 247.64 is: 341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.20 : 409.32 = 247.64 : x
  2. Step 2: Convert to fraction form
    297.20/409.32 = 247.64/x
  3. Step 3: Cross multiply
    297.20x = 409.32 × 247.64
  4. Step 4: Simplify right side
    297.20x = 101,364.00
  5. Step 5: Solve for x
    x = 101,364.00/297.20
  6. Step 6: Final answer
    x = 341.06

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Why These Related Problems?

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