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Finding the Fourth Proportional to 406.92, 561.60 and 259.71

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Solution

The fourth proportional to 406.92, 561.60 and 259.71 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 561.60 = 259.71 : x
  2. Step 2: Convert to fraction form
    406.92/561.60 = 259.71/x
  3. Step 3: Cross multiply
    406.92x = 561.60 × 259.71
  4. Step 4: Simplify right side
    406.92x = 145,853.14
  5. Step 5: Solve for x
    x = 145,853.14/406.92
  6. Step 6: Final answer
    x = 358.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.