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Finding the Fourth Proportional to 492.14, 736.61 and 309.66

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Solution

The fourth proportional to 492.14, 736.61 and 309.66 is: 463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.14 : 736.61 = 309.66 : x
  2. Step 2: Convert to fraction form
    492.14/736.61 = 309.66/x
  3. Step 3: Cross multiply
    492.14x = 736.61 × 309.66
  4. Step 4: Simplify right side
    492.14x = 228,098.65
  5. Step 5: Solve for x
    x = 228,098.65/492.14
  6. Step 6: Final answer
    x = 463.48

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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.