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Finding the Fourth Proportional to 622.80, 934.20 and 406.56

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Solution

The fourth proportional to 622.80, 934.20 and 406.56 is: 609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 934.20 = 406.56 : x
  2. Step 2: Convert to fraction form
    622.80/934.20 = 406.56/x
  3. Step 3: Cross multiply
    622.80x = 934.20 × 406.56
  4. Step 4: Simplify right side
    622.80x = 379,808.35
  5. Step 5: Solve for x
    x = 379,808.35/622.80
  6. Step 6: Final answer
    x = 609.84

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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.