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Finding the Fourth Proportional to 622.92, 934.59 and 298.32

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Solution

The fourth proportional to 622.92, 934.59 and 298.32 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.92 : 934.59 = 298.32 : x
  2. Step 2: Convert to fraction form
    622.92/934.59 = 298.32/x
  3. Step 3: Cross multiply
    622.92x = 934.59 × 298.32
  4. Step 4: Simplify right side
    622.92x = 278,800.72
  5. Step 5: Solve for x
    x = 278,800.72/622.92
  6. Step 6: Final answer
    x = 447.57

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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.