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Finding the Fourth Proportional to 622.92, 934.96 and 314.99

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Solution

The fourth proportional to 622.92, 934.96 and 314.99 is: 472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.92 : 934.96 = 314.99 : x
  2. Step 2: Convert to fraction form
    622.92/934.96 = 314.99/x
  3. Step 3: Cross multiply
    622.92x = 934.96 × 314.99
  4. Step 4: Simplify right side
    622.92x = 294,496.80
  5. Step 5: Solve for x
    x = 294,496.80/622.92
  6. Step 6: Final answer
    x = 472.77

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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.