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Finding the Fourth Proportional to 552.90, 762.67 and 366.31

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Solution

The fourth proportional to 552.90, 762.67 and 366.31 is: 505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 762.67 = 366.31 : x
  2. Step 2: Convert to fraction form
    552.90/762.67 = 366.31/x
  3. Step 3: Cross multiply
    552.90x = 762.67 × 366.31
  4. Step 4: Simplify right side
    552.90x = 279,373.65
  5. Step 5: Solve for x
    x = 279,373.65/552.90
  6. Step 6: Final answer
    x = 505.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.