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Finding the Fourth Proportional to 552.75, 762.64 and 356.38

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Solution

The fourth proportional to 552.75, 762.64 and 356.38 is: 491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.75 : 762.64 = 356.38 : x
  2. Step 2: Convert to fraction form
    552.75/762.64 = 356.38/x
  3. Step 3: Cross multiply
    552.75x = 762.64 × 356.38
  4. Step 4: Simplify right side
    552.75x = 271,785.83
  5. Step 5: Solve for x
    x = 271,785.83/552.75
  6. Step 6: Final answer
    x = 491.70

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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.