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Finding the Fourth Proportional to 552.26, 827.57 and 346.32

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Solution

The fourth proportional to 552.26, 827.57 and 346.32 is: 518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.26 : 827.57 = 346.32 : x
  2. Step 2: Convert to fraction form
    552.26/827.57 = 346.32/x
  3. Step 3: Cross multiply
    552.26x = 827.57 × 346.32
  4. Step 4: Simplify right side
    552.26x = 286,604.91
  5. Step 5: Solve for x
    x = 286,604.91/552.26
  6. Step 6: Final answer
    x = 518.96

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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.