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Finding the Fourth Proportional to 406.58, 561.15 and 259.19

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Solution

The fourth proportional to 406.58, 561.15 and 259.19 is: 357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.58 : 561.15 = 259.19 : x
  2. Step 2: Convert to fraction form
    406.58/561.15 = 259.19/x
  3. Step 3: Cross multiply
    406.58x = 561.15 × 259.19
  4. Step 4: Simplify right side
    406.58x = 145,441.66
  5. Step 5: Solve for x
    x = 145,441.66/406.58
  6. Step 6: Final answer
    x = 357.72

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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.