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Finding the Fourth Proportional to 493.28, 679.08 and 427.52

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Solution

The fourth proportional to 493.28, 679.08 and 427.52 is: 588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 679.08 = 427.52 : x
  2. Step 2: Convert to fraction form
    493.28/679.08 = 427.52/x
  3. Step 3: Cross multiply
    493.28x = 679.08 × 427.52
  4. Step 4: Simplify right side
    493.28x = 290,320.28
  5. Step 5: Solve for x
    x = 290,320.28/493.28
  6. Step 6: Final answer
    x = 588.55

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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.