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Finding the Fourth Proportional to 414.52, 621.78 and 231.64

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Solution

The fourth proportional to 414.52, 621.78 and 231.64 is: 347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 621.78 = 231.64 : x
  2. Step 2: Convert to fraction form
    414.52/621.78 = 231.64/x
  3. Step 3: Cross multiply
    414.52x = 621.78 × 231.64
  4. Step 4: Simplify right side
    414.52x = 144,029.12
  5. Step 5: Solve for x
    x = 144,029.12/414.52
  6. Step 6: Final answer
    x = 347.46

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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.