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Finding the Fourth Proportional to 406.71, 608.22 and 260.10

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Solution

The fourth proportional to 406.71, 608.22 and 260.10 is: 388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.71 : 608.22 = 260.10 : x
  2. Step 2: Convert to fraction form
    406.71/608.22 = 260.10/x
  3. Step 3: Cross multiply
    406.71x = 608.22 × 260.10
  4. Step 4: Simplify right side
    406.71x = 158,198.02
  5. Step 5: Solve for x
    x = 158,198.02/406.71
  6. Step 6: Final answer
    x = 388.97

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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.