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Finding the Fourth Proportional to 406.87, 561.48 and 232.18

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Solution

The fourth proportional to 406.87, 561.48 and 232.18 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.87 : 561.48 = 232.18 : x
  2. Step 2: Convert to fraction form
    406.87/561.48 = 232.18/x
  3. Step 3: Cross multiply
    406.87x = 561.48 × 232.18
  4. Step 4: Simplify right side
    406.87x = 130,364.43
  5. Step 5: Solve for x
    x = 130,364.43/406.87
  6. Step 6: Final answer
    x = 320.41

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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.