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Finding the Fourth Proportional to 414.17, 619.93 and 260.27

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Solution

The fourth proportional to 414.17, 619.93 and 260.27 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 619.93 = 260.27 : x
  2. Step 2: Convert to fraction form
    414.17/619.93 = 260.27/x
  3. Step 3: Cross multiply
    414.17x = 619.93 × 260.27
  4. Step 4: Simplify right side
    414.17x = 161,345.43
  5. Step 5: Solve for x
    x = 161,345.43/414.17
  6. Step 6: Final answer
    x = 389.57

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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.