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Finding the Fourth Proportional to 580.40, 870.66 and 215.09

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Solution

The fourth proportional to 580.40, 870.66 and 215.09 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.40 : 870.66 = 215.09 : x
  2. Step 2: Convert to fraction form
    580.40/870.66 = 215.09/x
  3. Step 3: Cross multiply
    580.40x = 870.66 × 215.09
  4. Step 4: Simplify right side
    580.40x = 187,270.26
  5. Step 5: Solve for x
    x = 187,270.26/580.40
  6. Step 6: Final answer
    x = 322.66

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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.