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Finding the Fourth Proportional to 334.91, 499.78 and 294.41

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Solution

The fourth proportional to 334.91, 499.78 and 294.41 is: 439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.91 : 499.78 = 294.41 : x
  2. Step 2: Convert to fraction form
    334.91/499.78 = 294.41/x
  3. Step 3: Cross multiply
    334.91x = 499.78 × 294.41
  4. Step 4: Simplify right side
    334.91x = 147,138.76
  5. Step 5: Solve for x
    x = 147,138.76/334.91
  6. Step 6: Final answer
    x = 439.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.