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Finding the Fourth Proportional to 588.52, 810.39 and 513.82

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Solution

The fourth proportional to 588.52, 810.39 and 513.82 is: 707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 810.39 = 513.82 : x
  2. Step 2: Convert to fraction form
    588.52/810.39 = 513.82/x
  3. Step 3: Cross multiply
    588.52x = 810.39 × 513.82
  4. Step 4: Simplify right side
    588.52x = 416,394.59
  5. Step 5: Solve for x
    x = 416,394.59/588.52
  6. Step 6: Final answer
    x = 707.53

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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.