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Finding the Fourth Proportional to 406, 607.86 and 259.39

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Solution

The fourth proportional to 406, 607.86 and 259.39 is: 388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 607.86 = 259.39 : x
  2. Step 2: Convert to fraction form
    406/607.86 = 259.39/x
  3. Step 3: Cross multiply
    406x = 607.86 × 259.39
  4. Step 4: Simplify right side
    406x = 157,672.81
  5. Step 5: Solve for x
    x = 157,672.81/406
  6. Step 6: Final answer
    x = 388.36

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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.