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Finding the Fourth Proportional to 622.64, 859.19 and 357.11

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Solution

The fourth proportional to 622.64, 859.19 and 357.11 is: 492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.64 : 859.19 = 357.11 : x
  2. Step 2: Convert to fraction form
    622.64/859.19 = 357.11/x
  3. Step 3: Cross multiply
    622.64x = 859.19 × 357.11
  4. Step 4: Simplify right side
    622.64x = 306,823.56
  5. Step 5: Solve for x
    x = 306,823.56/622.64
  6. Step 6: Final answer
    x = 492.78

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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.