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Finding the Fourth Proportional to 588.45, 817.52 and 583.10

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Solution

The fourth proportional to 588.45, 817.52 and 583.10 is: 810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.45 : 817.52 = 583.10 : x
  2. Step 2: Convert to fraction form
    588.45/817.52 = 583.10/x
  3. Step 3: Cross multiply
    588.45x = 817.52 × 583.10
  4. Step 4: Simplify right side
    588.45x = 476,691.97
  5. Step 5: Solve for x
    x = 476,691.97/588.45
  6. Step 6: Final answer
    x = 810.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.