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Finding the Fourth Proportional to 406.88, 561.26 and 259.24

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Solution

The fourth proportional to 406.88, 561.26 and 259.24 is: 357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 561.26 = 259.24 : x
  2. Step 2: Convert to fraction form
    406.88/561.26 = 259.24/x
  3. Step 3: Cross multiply
    406.88x = 561.26 × 259.24
  4. Step 4: Simplify right side
    406.88x = 145,501.04
  5. Step 5: Solve for x
    x = 145,501.04/406.88
  6. Step 6: Final answer
    x = 357.60

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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.