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Finding the Fourth Proportional to 622.28, 859.44 and 414.92

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Solution

The fourth proportional to 622.28, 859.44 and 414.92 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.28 : 859.44 = 414.92 : x
  2. Step 2: Convert to fraction form
    622.28/859.44 = 414.92/x
  3. Step 3: Cross multiply
    622.28x = 859.44 × 414.92
  4. Step 4: Simplify right side
    622.28x = 356,598.84
  5. Step 5: Solve for x
    x = 356,598.84/622.28
  6. Step 6: Final answer
    x = 573.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.