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Finding the Fourth Proportional to 406.62, 561.14 and 259.34

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Solution

The fourth proportional to 406.62, 561.14 and 259.34 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 561.14 = 259.34 : x
  2. Step 2: Convert to fraction form
    406.62/561.14 = 259.34/x
  3. Step 3: Cross multiply
    406.62x = 561.14 × 259.34
  4. Step 4: Simplify right side
    406.62x = 145,521.95
  5. Step 5: Solve for x
    x = 145,521.95/406.62
  6. Step 6: Final answer
    x = 357.88

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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.