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Finding the Fourth Proportional to 506.28, 698.48 and 319.71

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Solution

The fourth proportional to 506.28, 698.48 and 319.71 is: 441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 698.48 = 319.71 : x
  2. Step 2: Convert to fraction form
    506.28/698.48 = 319.71/x
  3. Step 3: Cross multiply
    506.28x = 698.48 × 319.71
  4. Step 4: Simplify right side
    506.28x = 223,308.35
  5. Step 5: Solve for x
    x = 223,308.35/506.28
  6. Step 6: Final answer
    x = 441.07

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