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Finding the Fourth Proportional to 580.50, 870.48 and 215.28

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Solution

The fourth proportional to 580.50, 870.48 and 215.28 is: 322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.50 : 870.48 = 215.28 : x
  2. Step 2: Convert to fraction form
    580.50/870.48 = 215.28/x
  3. Step 3: Cross multiply
    580.50x = 870.48 × 215.28
  4. Step 4: Simplify right side
    580.50x = 187,396.93
  5. Step 5: Solve for x
    x = 187,396.93/580.50
  6. Step 6: Final answer
    x = 322.82

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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.