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Finding the Fourth Proportional to 492.24, 737.82 and 297.30

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Solution

The fourth proportional to 492.24, 737.82 and 297.30 is: 445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.24 : 737.82 = 297.30 : x
  2. Step 2: Convert to fraction form
    492.24/737.82 = 297.30/x
  3. Step 3: Cross multiply
    492.24x = 737.82 × 297.30
  4. Step 4: Simplify right side
    492.24x = 219,353.89
  5. Step 5: Solve for x
    x = 219,353.89/492.24
  6. Step 6: Final answer
    x = 445.62

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Why These Related Problems?

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