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Finding the Fourth Proportional to 427.35, 589.74 and 240.86

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Solution

The fourth proportional to 427.35, 589.74 and 240.86 is: 332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.35 : 589.74 = 240.86 : x
  2. Step 2: Convert to fraction form
    427.35/589.74 = 240.86/x
  3. Step 3: Cross multiply
    427.35x = 589.74 × 240.86
  4. Step 4: Simplify right side
    427.35x = 142,040.62
  5. Step 5: Solve for x
    x = 142,040.62/427.35
  6. Step 6: Final answer
    x = 332.38

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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.