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Finding the Fourth Proportional to 622.85, 934.47 and 212.02

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Solution

The fourth proportional to 622.85, 934.47 and 212.02 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.85 : 934.47 = 212.02 : x
  2. Step 2: Convert to fraction form
    622.85/934.47 = 212.02/x
  3. Step 3: Cross multiply
    622.85x = 934.47 × 212.02
  4. Step 4: Simplify right side
    622.85x = 198,123.99
  5. Step 5: Solve for x
    x = 198,123.99/622.85
  6. Step 6: Final answer
    x = 318.10

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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.