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Finding the Fourth Proportional to 313.74, 432.74 and 215.73

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Solution

The fourth proportional to 313.74, 432.74 and 215.73 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 432.74 = 215.73 : x
  2. Step 2: Convert to fraction form
    313.74/432.74 = 215.73/x
  3. Step 3: Cross multiply
    313.74x = 432.74 × 215.73
  4. Step 4: Simplify right side
    313.74x = 93,355.54
  5. Step 5: Solve for x
    x = 93,355.54/313.74
  6. Step 6: Final answer
    x = 297.56

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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.