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Finding the Fourth Proportional to 406.41, 560.91 and 259.20

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Solution

The fourth proportional to 406.41, 560.91 and 259.20 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.41 : 560.91 = 259.20 : x
  2. Step 2: Convert to fraction form
    406.41/560.91 = 259.20/x
  3. Step 3: Cross multiply
    406.41x = 560.91 × 259.20
  4. Step 4: Simplify right side
    406.41x = 145,387.87
  5. Step 5: Solve for x
    x = 145,387.87/406.41
  6. Step 6: Final answer
    x = 357.74

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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.