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Finding the Fourth Proportional to 492.64, 679.82 and 296.26

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Solution

The fourth proportional to 492.64, 679.82 and 296.26 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 679.82 = 296.26 : x
  2. Step 2: Convert to fraction form
    492.64/679.82 = 296.26/x
  3. Step 3: Cross multiply
    492.64x = 679.82 × 296.26
  4. Step 4: Simplify right side
    492.64x = 201,400.29
  5. Step 5: Solve for x
    x = 201,400.29/492.64
  6. Step 6: Final answer
    x = 408.82

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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.