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Finding the Fourth Proportional to 427.09, 589.41 and 240.59

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Solution

The fourth proportional to 427.09, 589.41 and 240.59 is: 332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.09 : 589.41 = 240.59 : x
  2. Step 2: Convert to fraction form
    427.09/589.41 = 240.59/x
  3. Step 3: Cross multiply
    427.09x = 589.41 × 240.59
  4. Step 4: Simplify right side
    427.09x = 141,804.31
  5. Step 5: Solve for x
    x = 141,804.31/427.09
  6. Step 6: Final answer
    x = 332.02

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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.