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Finding the Fourth Proportional to 492.89, 679.86 and 427.28

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Solution

The fourth proportional to 492.89, 679.86 and 427.28 is: 589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.89 : 679.86 = 427.28 : x
  2. Step 2: Convert to fraction form
    492.89/679.86 = 427.28/x
  3. Step 3: Cross multiply
    492.89x = 679.86 × 427.28
  4. Step 4: Simplify right side
    492.89x = 290,487.18
  5. Step 5: Solve for x
    x = 290,487.18/492.89
  6. Step 6: Final answer
    x = 589.36

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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.