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Finding the Fourth Proportional to 622.78, 934.71 and 406.60

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Solution

The fourth proportional to 622.78, 934.71 and 406.60 is: 610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.78 : 934.71 = 406.60 : x
  2. Step 2: Convert to fraction form
    622.78/934.71 = 406.60/x
  3. Step 3: Cross multiply
    622.78x = 934.71 × 406.60
  4. Step 4: Simplify right side
    622.78x = 380,053.09
  5. Step 5: Solve for x
    x = 380,053.09/622.78
  6. Step 6: Final answer
    x = 610.25

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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.