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Finding the Fourth Proportional to 591.83, 892.17 and 552.18

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Solution

The fourth proportional to 591.83, 892.17 and 552.18 is: 832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.83 : 892.17 = 552.18 : x
  2. Step 2: Convert to fraction form
    591.83/892.17 = 552.18/x
  3. Step 3: Cross multiply
    591.83x = 892.17 × 552.18
  4. Step 4: Simplify right side
    591.83x = 492,638.43
  5. Step 5: Solve for x
    x = 492,638.43/591.83
  6. Step 6: Final answer
    x = 832.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.