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Finding the Fourth Proportional to 349.16, 524.02 and 227.40

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Solution

The fourth proportional to 349.16, 524.02 and 227.40 is: 341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.16 : 524.02 = 227.40 : x
  2. Step 2: Convert to fraction form
    349.16/524.02 = 227.40/x
  3. Step 3: Cross multiply
    349.16x = 524.02 × 227.40
  4. Step 4: Simplify right side
    349.16x = 119,162.15
  5. Step 5: Solve for x
    x = 119,162.15/349.16
  6. Step 6: Final answer
    x = 341.28

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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.