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Finding the Fourth Proportional to 622.79, 933.98 and 211.83

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Solution

The fourth proportional to 622.79, 933.98 and 211.83 is: 317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.79 : 933.98 = 211.83 : x
  2. Step 2: Convert to fraction form
    622.79/933.98 = 211.83/x
  3. Step 3: Cross multiply
    622.79x = 933.98 × 211.83
  4. Step 4: Simplify right side
    622.79x = 197,843.92
  5. Step 5: Solve for x
    x = 197,843.92/622.79
  6. Step 6: Final answer
    x = 317.67

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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.