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Finding the Fourth Proportional to 414.84, 620.97 and 260.23

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Solution

The fourth proportional to 414.84, 620.97 and 260.23 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 620.97 = 260.23 : x
  2. Step 2: Convert to fraction form
    414.84/620.97 = 260.23/x
  3. Step 3: Cross multiply
    414.84x = 620.97 × 260.23
  4. Step 4: Simplify right side
    414.84x = 161,595.02
  5. Step 5: Solve for x
    x = 161,595.02/414.84
  6. Step 6: Final answer
    x = 389.54

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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.