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Finding the Fourth Proportional to 482.57, 665.97 and 296

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Solution

The fourth proportional to 482.57, 665.97 and 296 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.57 : 665.97 = 296 : x
  2. Step 2: Convert to fraction form
    482.57/665.97 = 296/x
  3. Step 3: Cross multiply
    482.57x = 665.97 × 296
  4. Step 4: Simplify right side
    482.57x = 197,127.12
  5. Step 5: Solve for x
    x = 197,127.12/482.57
  6. Step 6: Final answer
    x = 408.49

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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.