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Finding the Fourth Proportional to 622.68, 933.66 and 298.05

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Solution

The fourth proportional to 622.68, 933.66 and 298.05 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.68 : 933.66 = 298.05 : x
  2. Step 2: Convert to fraction form
    622.68/933.66 = 298.05/x
  3. Step 3: Cross multiply
    622.68x = 933.66 × 298.05
  4. Step 4: Simplify right side
    622.68x = 278,277.36
  5. Step 5: Solve for x
    x = 278,277.36/622.68
  6. Step 6: Final answer
    x = 446.90

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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.