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Finding the Fourth Proportional to 313.92, 433.17 and 215.49

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Solution

The fourth proportional to 313.92, 433.17 and 215.49 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 433.17 = 215.49 : x
  2. Step 2: Convert to fraction form
    313.92/433.17 = 215.49/x
  3. Step 3: Cross multiply
    313.92x = 433.17 × 215.49
  4. Step 4: Simplify right side
    313.92x = 93,343.80
  5. Step 5: Solve for x
    x = 93,343.80/313.92
  6. Step 6: Final answer
    x = 297.35

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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.