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Finding the Fourth Proportional to 622.13, 932.59 and 378.22

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Solution

The fourth proportional to 622.13, 932.59 and 378.22 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 932.59 = 378.22 : x
  2. Step 2: Convert to fraction form
    622.13/932.59 = 378.22/x
  3. Step 3: Cross multiply
    622.13x = 932.59 × 378.22
  4. Step 4: Simplify right side
    622.13x = 352,723.02
  5. Step 5: Solve for x
    x = 352,723.02/622.13
  6. Step 6: Final answer
    x = 566.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.