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Finding the Fourth Proportional to 552.63, 825.94 and 508.85

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Solution

The fourth proportional to 552.63, 825.94 and 508.85 is: 760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.63 : 825.94 = 508.85 : x
  2. Step 2: Convert to fraction form
    552.63/825.94 = 508.85/x
  3. Step 3: Cross multiply
    552.63x = 825.94 × 508.85
  4. Step 4: Simplify right side
    552.63x = 420,279.57
  5. Step 5: Solve for x
    x = 420,279.57/552.63
  6. Step 6: Final answer
    x = 760.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.