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Finding the Fourth Proportional to 622.42, 859.02 and 402.02

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Solution

The fourth proportional to 622.42, 859.02 and 402.02 is: 554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 859.02 = 402.02 : x
  2. Step 2: Convert to fraction form
    622.42/859.02 = 402.02/x
  3. Step 3: Cross multiply
    622.42x = 859.02 × 402.02
  4. Step 4: Simplify right side
    622.42x = 345,338.93
  5. Step 5: Solve for x
    x = 345,338.93/622.42
  6. Step 6: Final answer
    x = 554.83

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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.