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Finding the Fourth Proportional to 580.43, 870.83 and 320.09

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Solution

The fourth proportional to 580.43, 870.83 and 320.09 is: 480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.43 : 870.83 = 320.09 : x
  2. Step 2: Convert to fraction form
    580.43/870.83 = 320.09/x
  3. Step 3: Cross multiply
    580.43x = 870.83 × 320.09
  4. Step 4: Simplify right side
    580.43x = 278,746.95
  5. Step 5: Solve for x
    x = 278,746.95/580.43
  6. Step 6: Final answer
    x = 480.25

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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.