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Finding the Fourth Proportional to 406.46, 560.95 and 231.81

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Solution

The fourth proportional to 406.46, 560.95 and 231.81 is: 319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 560.95 = 231.81 : x
  2. Step 2: Convert to fraction form
    406.46/560.95 = 231.81/x
  3. Step 3: Cross multiply
    406.46x = 560.95 × 231.81
  4. Step 4: Simplify right side
    406.46x = 130,033.82
  5. Step 5: Solve for x
    x = 130,033.82/406.46
  6. Step 6: Final answer
    x = 319.92

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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.