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Finding the Fourth Proportional to 406.81, 560.82 and 288.69

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Solution

The fourth proportional to 406.81, 560.82 and 288.69 is: 397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.81 : 560.82 = 288.69 : x
  2. Step 2: Convert to fraction form
    406.81/560.82 = 288.69/x
  3. Step 3: Cross multiply
    406.81x = 560.82 × 288.69
  4. Step 4: Simplify right side
    406.81x = 161,903.13
  5. Step 5: Solve for x
    x = 161,903.13/406.81
  6. Step 6: Final answer
    x = 397.98

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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.