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Finding the Fourth Proportional to 580.35, 869.85 and 320.51

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Solution

The fourth proportional to 580.35, 869.85 and 320.51 is: 480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.35 : 869.85 = 320.51 : x
  2. Step 2: Convert to fraction form
    580.35/869.85 = 320.51/x
  3. Step 3: Cross multiply
    580.35x = 869.85 × 320.51
  4. Step 4: Simplify right side
    580.35x = 278,795.62
  5. Step 5: Solve for x
    x = 278,795.62/580.35
  6. Step 6: Final answer
    x = 480.39

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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.