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Finding the Fourth Proportional to 492.57, 737.78 and 232.18

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Solution

The fourth proportional to 492.57, 737.78 and 232.18 is: 347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.57 : 737.78 = 232.18 : x
  2. Step 2: Convert to fraction form
    492.57/737.78 = 232.18/x
  3. Step 3: Cross multiply
    492.57x = 737.78 × 232.18
  4. Step 4: Simplify right side
    492.57x = 171,294.07
  5. Step 5: Solve for x
    x = 171,294.07/492.57
  6. Step 6: Final answer
    x = 347.76

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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.