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Finding the Fourth Proportional to 492.28, 679.98 and 427.96

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Solution

The fourth proportional to 492.28, 679.98 and 427.96 is: 591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.28 : 679.98 = 427.96 : x
  2. Step 2: Convert to fraction form
    492.28/679.98 = 427.96/x
  3. Step 3: Cross multiply
    492.28x = 679.98 × 427.96
  4. Step 4: Simplify right side
    492.28x = 291,004.24
  5. Step 5: Solve for x
    x = 291,004.24/492.28
  6. Step 6: Final answer
    x = 591.14

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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.