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Finding the Fourth Proportional to 588.87, 813.44 and 584.77

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Solution

The fourth proportional to 588.87, 813.44 and 584.77 is: 807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.87 : 813.44 = 584.77 : x
  2. Step 2: Convert to fraction form
    588.87/813.44 = 584.77/x
  3. Step 3: Cross multiply
    588.87x = 813.44 × 584.77
  4. Step 4: Simplify right side
    588.87x = 475,676.26
  5. Step 5: Solve for x
    x = 475,676.26/588.87
  6. Step 6: Final answer
    x = 807.78

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.