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Finding the Fourth Proportional to 482.92, 666.23 and 296.09

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Solution

The fourth proportional to 482.92, 666.23 and 296.09 is: 408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.92 : 666.23 = 296.09 : x
  2. Step 2: Convert to fraction form
    482.92/666.23 = 296.09/x
  3. Step 3: Cross multiply
    482.92x = 666.23 × 296.09
  4. Step 4: Simplify right side
    482.92x = 197,260.71
  5. Step 5: Solve for x
    x = 197,260.71/482.92
  6. Step 6: Final answer
    x = 408.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.