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Finding the Fourth Proportional to 427.28, 590.32 and 339.42

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Solution

The fourth proportional to 427.28, 590.32 and 339.42 is: 468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.28 : 590.32 = 339.42 : x
  2. Step 2: Convert to fraction form
    427.28/590.32 = 339.42/x
  3. Step 3: Cross multiply
    427.28x = 590.32 × 339.42
  4. Step 4: Simplify right side
    427.28x = 200,366.41
  5. Step 5: Solve for x
    x = 200,366.41/427.28
  6. Step 6: Final answer
    x = 468.93

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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.