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Finding the Fourth Proportional to 580.36, 869.75 and 319.97

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Solution

The fourth proportional to 580.36, 869.75 and 319.97 is: 479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.36 : 869.75 = 319.97 : x
  2. Step 2: Convert to fraction form
    580.36/869.75 = 319.97/x
  3. Step 3: Cross multiply
    580.36x = 869.75 × 319.97
  4. Step 4: Simplify right side
    580.36x = 278,289.59
  5. Step 5: Solve for x
    x = 278,289.59/580.36
  6. Step 6: Final answer
    x = 479.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.