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Finding the Fourth Proportional to 297.02, 409.74 and 244.64

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Solution

The fourth proportional to 297.02, 409.74 and 244.64 is: 337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.02 : 409.74 = 244.64 : x
  2. Step 2: Convert to fraction form
    297.02/409.74 = 244.64/x
  3. Step 3: Cross multiply
    297.02x = 409.74 × 244.64
  4. Step 4: Simplify right side
    297.02x = 100,238.79
  5. Step 5: Solve for x
    x = 100,238.79/297.02
  6. Step 6: Final answer
    x = 337.48

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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.