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Finding the Fourth Proportional to 622.86, 934.35 and 211.89

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Solution

The fourth proportional to 622.86, 934.35 and 211.89 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.86 : 934.35 = 211.89 : x
  2. Step 2: Convert to fraction form
    622.86/934.35 = 211.89/x
  3. Step 3: Cross multiply
    622.86x = 934.35 × 211.89
  4. Step 4: Simplify right side
    622.86x = 197,979.42
  5. Step 5: Solve for x
    x = 197,979.42/622.86
  6. Step 6: Final answer
    x = 317.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.