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Finding the Fourth Proportional to 580.41, 870.74 and 195.66

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Solution

The fourth proportional to 580.41, 870.74 and 195.66 is: 293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.41 : 870.74 = 195.66 : x
  2. Step 2: Convert to fraction form
    580.41/870.74 = 195.66/x
  3. Step 3: Cross multiply
    580.41x = 870.74 × 195.66
  4. Step 4: Simplify right side
    580.41x = 170,369.48
  5. Step 5: Solve for x
    x = 170,369.48/580.41
  6. Step 6: Final answer
    x = 293.53

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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.