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Finding the Fourth Proportional to 349.16, 524.04 and 227.56

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Solution

The fourth proportional to 349.16, 524.04 and 227.56 is: 341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.16 : 524.04 = 227.56 : x
  2. Step 2: Convert to fraction form
    349.16/524.04 = 227.56/x
  3. Step 3: Cross multiply
    349.16x = 524.04 × 227.56
  4. Step 4: Simplify right side
    349.16x = 119,248.58
  5. Step 5: Solve for x
    x = 119,248.58/349.16
  6. Step 6: Final answer
    x = 341.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.