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Finding the Fourth Proportional to 492.91, 737.24 and 468

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Solution

The fourth proportional to 492.91, 737.24 and 468 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.91 : 737.24 = 468 : x
  2. Step 2: Convert to fraction form
    492.91/737.24 = 468/x
  3. Step 3: Cross multiply
    492.91x = 737.24 × 468
  4. Step 4: Simplify right side
    492.91x = 345,025.98
  5. Step 5: Solve for x
    x = 345,025.98/492.91
  6. Step 6: Final answer
    x = 699.98

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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.