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Finding the Fourth Proportional to 414.84, 622.47 and 293.88

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Solution

The fourth proportional to 414.84, 622.47 and 293.88 is: 440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 622.47 = 293.88 : x
  2. Step 2: Convert to fraction form
    414.84/622.47 = 293.88/x
  3. Step 3: Cross multiply
    414.84x = 622.47 × 293.88
  4. Step 4: Simplify right side
    414.84x = 182,931.48
  5. Step 5: Solve for x
    x = 182,931.48/414.84
  6. Step 6: Final answer
    x = 440.97

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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.