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Finding the Fourth Proportional to 492.02, 738.48 and 309.74

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Solution

The fourth proportional to 492.02, 738.48 and 309.74 is: 464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.02 : 738.48 = 309.74 : x
  2. Step 2: Convert to fraction form
    492.02/738.48 = 309.74/x
  3. Step 3: Cross multiply
    492.02x = 738.48 × 309.74
  4. Step 4: Simplify right side
    492.02x = 228,736.80
  5. Step 5: Solve for x
    x = 228,736.80/492.02
  6. Step 6: Final answer
    x = 464.89

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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.