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Finding the Fourth Proportional to 297.46, 409.66 and 256

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Solution

The fourth proportional to 297.46, 409.66 and 256 is: 352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 409.66 = 256 : x
  2. Step 2: Convert to fraction form
    297.46/409.66 = 256/x
  3. Step 3: Cross multiply
    297.46x = 409.66 × 256
  4. Step 4: Simplify right side
    297.46x = 104,872.96
  5. Step 5: Solve for x
    x = 104,872.96/297.46
  6. Step 6: Final answer
    x = 352.56

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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.