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Finding the Fourth Proportional to 586.14, 878.99 and 220.83

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Solution

The fourth proportional to 586.14, 878.99 and 220.83 is: 331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.14 : 878.99 = 220.83 : x
  2. Step 2: Convert to fraction form
    586.14/878.99 = 220.83/x
  3. Step 3: Cross multiply
    586.14x = 878.99 × 220.83
  4. Step 4: Simplify right side
    586.14x = 194,107.36
  5. Step 5: Solve for x
    x = 194,107.36/586.14
  6. Step 6: Final answer
    x = 331.16

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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.