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Finding the Fourth Proportional to 588.24, 878.22 and 568.08

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Solution

The fourth proportional to 588.24, 878.22 and 568.08 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 878.22 = 568.08 : x
  2. Step 2: Convert to fraction form
    588.24/878.22 = 568.08/x
  3. Step 3: Cross multiply
    588.24x = 878.22 × 568.08
  4. Step 4: Simplify right side
    588.24x = 498,899.22
  5. Step 5: Solve for x
    x = 498,899.22/588.24
  6. Step 6: Final answer
    x = 848.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.