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Finding the Fourth Proportional to 552.14, 827.41 and 346.13

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Solution

The fourth proportional to 552.14, 827.41 and 346.13 is: 518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.14 : 827.41 = 346.13 : x
  2. Step 2: Convert to fraction form
    552.14/827.41 = 346.13/x
  3. Step 3: Cross multiply
    552.14x = 827.41 × 346.13
  4. Step 4: Simplify right side
    552.14x = 286,391.42
  5. Step 5: Solve for x
    x = 286,391.42/552.14
  6. Step 6: Final answer
    x = 518.69

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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.