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Finding the Fourth Proportional to 622.71, 933.84 and 183.83

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Solution

The fourth proportional to 622.71, 933.84 and 183.83 is: 275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.71 : 933.84 = 183.83 : x
  2. Step 2: Convert to fraction form
    622.71/933.84 = 183.83/x
  3. Step 3: Cross multiply
    622.71x = 933.84 × 183.83
  4. Step 4: Simplify right side
    622.71x = 171,667.81
  5. Step 5: Solve for x
    x = 171,667.81/622.71
  6. Step 6: Final answer
    x = 275.68

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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.