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Finding the Fourth Proportional to 414.78, 621.68 and 260.73

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Solution

The fourth proportional to 414.78, 621.68 and 260.73 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.78 : 621.68 = 260.73 : x
  2. Step 2: Convert to fraction form
    414.78/621.68 = 260.73/x
  3. Step 3: Cross multiply
    414.78x = 621.68 × 260.73
  4. Step 4: Simplify right side
    414.78x = 162,089.32
  5. Step 5: Solve for x
    x = 162,089.32/414.78
  6. Step 6: Final answer
    x = 390.78

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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.