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Finding the Fourth Proportional to 414.29, 620 and 258.05

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Solution

The fourth proportional to 414.29, 620 and 258.05 is: 386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 620 = 258.05 : x
  2. Step 2: Convert to fraction form
    414.29/620 = 258.05/x
  3. Step 3: Cross multiply
    414.29x = 620 × 258.05
  4. Step 4: Simplify right side
    414.29x = 159,991
  5. Step 5: Solve for x
    x = 159,991/414.29
  6. Step 6: Final answer
    x = 386.18

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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.