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Finding the Fourth Proportional to 337.76, 465.84 and 227.36

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Solution

The fourth proportional to 337.76, 465.84 and 227.36 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.76 : 465.84 = 227.36 : x
  2. Step 2: Convert to fraction form
    337.76/465.84 = 227.36/x
  3. Step 3: Cross multiply
    337.76x = 465.84 × 227.36
  4. Step 4: Simplify right side
    337.76x = 105,913.38
  5. Step 5: Solve for x
    x = 105,913.38/337.76
  6. Step 6: Final answer
    x = 313.58

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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.