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Finding the Fourth Proportional to 405.78, 559.89 and 240.05

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Solution

The fourth proportional to 405.78, 559.89 and 240.05 is: 331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.78 : 559.89 = 240.05 : x
  2. Step 2: Convert to fraction form
    405.78/559.89 = 240.05/x
  3. Step 3: Cross multiply
    405.78x = 559.89 × 240.05
  4. Step 4: Simplify right side
    405.78x = 134,398.80
  5. Step 5: Solve for x
    x = 134,398.80/405.78
  6. Step 6: Final answer
    x = 331.21

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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.