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Finding the Fourth Proportional to 585.84, 878.67 and 195.78

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Solution

The fourth proportional to 585.84, 878.67 and 195.78 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.84 : 878.67 = 195.78 : x
  2. Step 2: Convert to fraction form
    585.84/878.67 = 195.78/x
  3. Step 3: Cross multiply
    585.84x = 878.67 × 195.78
  4. Step 4: Simplify right side
    585.84x = 172,026.01
  5. Step 5: Solve for x
    x = 172,026.01/585.84
  6. Step 6: Final answer
    x = 293.64

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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.