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Finding the Fourth Proportional to 536.66, 735.22 and 517.22

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Solution

The fourth proportional to 536.66, 735.22 and 517.22 is: 708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 735.22 = 517.22 : x
  2. Step 2: Convert to fraction form
    536.66/735.22 = 517.22/x
  3. Step 3: Cross multiply
    536.66x = 735.22 × 517.22
  4. Step 4: Simplify right side
    536.66x = 380,270.49
  5. Step 5: Solve for x
    x = 380,270.49/536.66
  6. Step 6: Final answer
    x = 708.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.