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Finding the Fourth Proportional to 406.07, 560.48 and 240.34

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Solution

The fourth proportional to 406.07, 560.48 and 240.34 is: 331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 560.48 = 240.34 : x
  2. Step 2: Convert to fraction form
    406.07/560.48 = 240.34/x
  3. Step 3: Cross multiply
    406.07x = 560.48 × 240.34
  4. Step 4: Simplify right side
    406.07x = 134,703.56
  5. Step 5: Solve for x
    x = 134,703.56/406.07
  6. Step 6: Final answer
    x = 331.73

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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.