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Finding the Fourth Proportional to 482.45, 665.78 and 283.24

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Solution

The fourth proportional to 482.45, 665.78 and 283.24 is: 390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.45 : 665.78 = 283.24 : x
  2. Step 2: Convert to fraction form
    482.45/665.78 = 283.24/x
  3. Step 3: Cross multiply
    482.45x = 665.78 × 283.24
  4. Step 4: Simplify right side
    482.45x = 188,579.60
  5. Step 5: Solve for x
    x = 188,579.60/482.45
  6. Step 6: Final answer
    x = 390.88

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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.