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Finding the Fourth Proportional to 482.24, 665.44 and 295.78

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Solution

The fourth proportional to 482.24, 665.44 and 295.78 is: 408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.24 : 665.44 = 295.78 : x
  2. Step 2: Convert to fraction form
    482.24/665.44 = 295.78/x
  3. Step 3: Cross multiply
    482.24x = 665.44 × 295.78
  4. Step 4: Simplify right side
    482.24x = 196,823.84
  5. Step 5: Solve for x
    x = 196,823.84/482.24
  6. Step 6: Final answer
    x = 408.14

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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.