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Finding the Fourth Proportional to 406.65, 561.08 and 259.23

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Solution

The fourth proportional to 406.65, 561.08 and 259.23 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.65 : 561.08 = 259.23 : x
  2. Step 2: Convert to fraction form
    406.65/561.08 = 259.23/x
  3. Step 3: Cross multiply
    406.65x = 561.08 × 259.23
  4. Step 4: Simplify right side
    406.65x = 145,449.42
  5. Step 5: Solve for x
    x = 145,449.42/406.65
  6. Step 6: Final answer
    x = 357.68

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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.