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Finding the Fourth Proportional to 585.57, 878.45 and 195.45

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Solution

The fourth proportional to 585.57, 878.45 and 195.45 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.57 : 878.45 = 195.45 : x
  2. Step 2: Convert to fraction form
    585.57/878.45 = 195.45/x
  3. Step 3: Cross multiply
    585.57x = 878.45 × 195.45
  4. Step 4: Simplify right side
    585.57x = 171,688.78
  5. Step 5: Solve for x
    x = 171,688.78/585.57
  6. Step 6: Final answer
    x = 293.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.