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Finding the Fourth Proportional to 588.72, 807.27 and 568.12

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Solution

The fourth proportional to 588.72, 807.27 and 568.12 is: 779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.72 : 807.27 = 568.12 : x
  2. Step 2: Convert to fraction form
    588.72/807.27 = 568.12/x
  3. Step 3: Cross multiply
    588.72x = 807.27 × 568.12
  4. Step 4: Simplify right side
    588.72x = 458,626.23
  5. Step 5: Solve for x
    x = 458,626.23/588.72
  6. Step 6: Final answer
    x = 779.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.