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Finding the Fourth Proportional to 588.26, 810.84 and 512.36

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Solution

The fourth proportional to 588.26, 810.84 and 512.36 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 810.84 = 512.36 : x
  2. Step 2: Convert to fraction form
    588.26/810.84 = 512.36/x
  3. Step 3: Cross multiply
    588.26x = 810.84 × 512.36
  4. Step 4: Simplify right side
    588.26x = 415,441.98
  5. Step 5: Solve for x
    x = 415,441.98/588.26
  6. Step 6: Final answer
    x = 706.22

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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.