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Finding the Fourth Proportional to 482.05, 665.23 and 282.92

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Solution

The fourth proportional to 482.05, 665.23 and 282.92 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.05 : 665.23 = 282.92 : x
  2. Step 2: Convert to fraction form
    482.05/665.23 = 282.92/x
  3. Step 3: Cross multiply
    482.05x = 665.23 × 282.92
  4. Step 4: Simplify right side
    482.05x = 188,206.16
  5. Step 5: Solve for x
    x = 188,206.16/482.05
  6. Step 6: Final answer
    x = 390.43

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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.