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Finding the Fourth Proportional to 580.39, 869.38 and 482.65

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Solution

The fourth proportional to 580.39, 869.38 and 482.65 is: 722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.39 : 869.38 = 482.65 : x
  2. Step 2: Convert to fraction form
    580.39/869.38 = 482.65/x
  3. Step 3: Cross multiply
    580.39x = 869.38 × 482.65
  4. Step 4: Simplify right side
    580.39x = 419,602.88
  5. Step 5: Solve for x
    x = 419,602.88/580.39
  6. Step 6: Final answer
    x = 722.97

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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.