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Finding the Fourth Proportional to 606.26, 914.68 and 575.88

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Solution

The fourth proportional to 606.26, 914.68 and 575.88 is: 868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.26 : 914.68 = 575.88 : x
  2. Step 2: Convert to fraction form
    606.26/914.68 = 575.88/x
  3. Step 3: Cross multiply
    606.26x = 914.68 × 575.88
  4. Step 4: Simplify right side
    606.26x = 526,745.92
  5. Step 5: Solve for x
    x = 526,745.92/606.26
  6. Step 6: Final answer
    x = 868.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.