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Finding the Fourth Proportional to 552.65, 762.89 and 356.27

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Solution

The fourth proportional to 552.65, 762.89 and 356.27 is: 491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.65 : 762.89 = 356.27 : x
  2. Step 2: Convert to fraction form
    552.65/762.89 = 356.27/x
  3. Step 3: Cross multiply
    552.65x = 762.89 × 356.27
  4. Step 4: Simplify right side
    552.65x = 271,789.22
  5. Step 5: Solve for x
    x = 271,789.22/552.65
  6. Step 6: Final answer
    x = 491.80

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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.