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Finding the Fourth Proportional to 622.49, 938.36 and 536.52

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Solution

The fourth proportional to 622.49, 938.36 and 536.52 is: 808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.49 : 938.36 = 536.52 : x
  2. Step 2: Convert to fraction form
    622.49/938.36 = 536.52/x
  3. Step 3: Cross multiply
    622.49x = 938.36 × 536.52
  4. Step 4: Simplify right side
    622.49x = 503,452.26
  5. Step 5: Solve for x
    x = 503,452.26/622.49
  6. Step 6: Final answer
    x = 808.78

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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.