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Finding the Fourth Proportional to 586.15, 878.92 and 196.01

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Solution

The fourth proportional to 586.15, 878.92 and 196.01 is: 293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.15 : 878.92 = 196.01 : x
  2. Step 2: Convert to fraction form
    586.15/878.92 = 196.01/x
  3. Step 3: Cross multiply
    586.15x = 878.92 × 196.01
  4. Step 4: Simplify right side
    586.15x = 172,277.11
  5. Step 5: Solve for x
    x = 172,277.11/586.15
  6. Step 6: Final answer
    x = 293.91

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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.