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Finding the Fourth Proportional to 622.57, 934.49 and 298.03

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Solution

The fourth proportional to 622.57, 934.49 and 298.03 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.57 : 934.49 = 298.03 : x
  2. Step 2: Convert to fraction form
    622.57/934.49 = 298.03/x
  3. Step 3: Cross multiply
    622.57x = 934.49 × 298.03
  4. Step 4: Simplify right side
    622.57x = 278,506.05
  5. Step 5: Solve for x
    x = 278,506.05/622.57
  6. Step 6: Final answer
    x = 447.35

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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.