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Finding the Fourth Proportional to 585.40, 878.08 and 220.16

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Solution

The fourth proportional to 585.40, 878.08 and 220.16 is: 330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 878.08 = 220.16 : x
  2. Step 2: Convert to fraction form
    585.40/878.08 = 220.16/x
  3. Step 3: Cross multiply
    585.40x = 878.08 × 220.16
  4. Step 4: Simplify right side
    585.40x = 193,318.09
  5. Step 5: Solve for x
    x = 193,318.09/585.40
  6. Step 6: Final answer
    x = 330.23

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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.