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Finding the Fourth Proportional to 580.26, 870.30 and 215.04

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Solution

The fourth proportional to 580.26, 870.30 and 215.04 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 870.30 = 215.04 : x
  2. Step 2: Convert to fraction form
    580.26/870.30 = 215.04/x
  3. Step 3: Cross multiply
    580.26x = 870.30 × 215.04
  4. Step 4: Simplify right side
    580.26x = 187,149.31
  5. Step 5: Solve for x
    x = 187,149.31/580.26
  6. Step 6: Final answer
    x = 322.53

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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.