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Finding the Fourth Proportional to 405.71, 559.89 and 240.02

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Solution

The fourth proportional to 405.71, 559.89 and 240.02 is: 331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.71 : 559.89 = 240.02 : x
  2. Step 2: Convert to fraction form
    405.71/559.89 = 240.02/x
  3. Step 3: Cross multiply
    405.71x = 559.89 × 240.02
  4. Step 4: Simplify right side
    405.71x = 134,382.00
  5. Step 5: Solve for x
    x = 134,382.00/405.71
  6. Step 6: Final answer
    x = 331.23

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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.