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Finding the Fourth Proportional to 580.06, 870.41 and 214.92

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Solution

The fourth proportional to 580.06, 870.41 and 214.92 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.06 : 870.41 = 214.92 : x
  2. Step 2: Convert to fraction form
    580.06/870.41 = 214.92/x
  3. Step 3: Cross multiply
    580.06x = 870.41 × 214.92
  4. Step 4: Simplify right side
    580.06x = 187,069.05
  5. Step 5: Solve for x
    x = 187,069.05/580.06
  6. Step 6: Final answer
    x = 322.50

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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.