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Finding the Fourth Proportional to 406.65, 561.14 and 229.62

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Solution

The fourth proportional to 406.65, 561.14 and 229.62 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.65 : 561.14 = 229.62 : x
  2. Step 2: Convert to fraction form
    406.65/561.14 = 229.62/x
  3. Step 3: Cross multiply
    406.65x = 561.14 × 229.62
  4. Step 4: Simplify right side
    406.65x = 128,847.82
  5. Step 5: Solve for x
    x = 128,847.82/406.65
  6. Step 6: Final answer
    x = 316.85

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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.