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Finding the Fourth Proportional to 622.60, 933.90 and 189.77

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Solution

The fourth proportional to 622.60, 933.90 and 189.77 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.60 : 933.90 = 189.77 : x
  2. Step 2: Convert to fraction form
    622.60/933.90 = 189.77/x
  3. Step 3: Cross multiply
    622.60x = 933.90 × 189.77
  4. Step 4: Simplify right side
    622.60x = 177,226.20
  5. Step 5: Solve for x
    x = 177,226.20/622.60
  6. Step 6: Final answer
    x = 284.66

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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.