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Finding the Fourth Proportional to 492.52, 737.76 and 296.90

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Solution

The fourth proportional to 492.52, 737.76 and 296.90 is: 444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.52 : 737.76 = 296.90 : x
  2. Step 2: Convert to fraction form
    492.52/737.76 = 296.90/x
  3. Step 3: Cross multiply
    492.52x = 737.76 × 296.90
  4. Step 4: Simplify right side
    492.52x = 219,040.94
  5. Step 5: Solve for x
    x = 219,040.94/492.52
  6. Step 6: Final answer
    x = 444.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.