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Finding the Fourth Proportional to 405.85, 560.09 and 240.09

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Solution

The fourth proportional to 405.85, 560.09 and 240.09 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.85 : 560.09 = 240.09 : x
  2. Step 2: Convert to fraction form
    405.85/560.09 = 240.09/x
  3. Step 3: Cross multiply
    405.85x = 560.09 × 240.09
  4. Step 4: Simplify right side
    405.85x = 134,470.81
  5. Step 5: Solve for x
    x = 134,470.81/405.85
  6. Step 6: Final answer
    x = 331.34

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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.