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Finding the Fourth Proportional to 580.29, 870.49 and 190.16

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Solution

The fourth proportional to 580.29, 870.49 and 190.16 is: 285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.29 : 870.49 = 190.16 : x
  2. Step 2: Convert to fraction form
    580.29/870.49 = 190.16/x
  3. Step 3: Cross multiply
    580.29x = 870.49 × 190.16
  4. Step 4: Simplify right side
    580.29x = 165,532.38
  5. Step 5: Solve for x
    x = 165,532.38/580.29
  6. Step 6: Final answer
    x = 285.26

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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.