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Finding the Fourth Proportional to 552.14, 827.40 and 335.20

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Solution

The fourth proportional to 552.14, 827.40 and 335.20 is: 502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.14 : 827.40 = 335.20 : x
  2. Step 2: Convert to fraction form
    552.14/827.40 = 335.20/x
  3. Step 3: Cross multiply
    552.14x = 827.40 × 335.20
  4. Step 4: Simplify right side
    552.14x = 277,340.34
  5. Step 5: Solve for x
    x = 277,340.34/552.14
  6. Step 6: Final answer
    x = 502.30

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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.