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Finding the Fourth Proportional to 552.57, 762.56 and 319.70

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Solution

The fourth proportional to 552.57, 762.56 and 319.70 is: 441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.57 : 762.56 = 319.70 : x
  2. Step 2: Convert to fraction form
    552.57/762.56 = 319.70/x
  3. Step 3: Cross multiply
    552.57x = 762.56 × 319.70
  4. Step 4: Simplify right side
    552.57x = 243,785.02
  5. Step 5: Solve for x
    x = 243,785.02/552.57
  6. Step 6: Final answer
    x = 441.18

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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.