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Finding the Fourth Proportional to 492.64, 679.84 and 296.20

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Solution

The fourth proportional to 492.64, 679.84 and 296.20 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 679.84 = 296.20 : x
  2. Step 2: Convert to fraction form
    492.64/679.84 = 296.20/x
  3. Step 3: Cross multiply
    492.64x = 679.84 × 296.20
  4. Step 4: Simplify right side
    492.64x = 201,368.61
  5. Step 5: Solve for x
    x = 201,368.61/492.64
  6. Step 6: Final answer
    x = 408.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.