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Finding the Fourth Proportional to 492.78, 738.39 and 309.82

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Solution

The fourth proportional to 492.78, 738.39 and 309.82 is: 464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 738.39 = 309.82 : x
  2. Step 2: Convert to fraction form
    492.78/738.39 = 309.82/x
  3. Step 3: Cross multiply
    492.78x = 738.39 × 309.82
  4. Step 4: Simplify right side
    492.78x = 228,767.99
  5. Step 5: Solve for x
    x = 228,767.99/492.78
  6. Step 6: Final answer
    x = 464.24

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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.