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Finding the Fourth Proportional to 482.57, 664.94 and 371.70

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Solution

The fourth proportional to 482.57, 664.94 and 371.70 is: 512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.57 : 664.94 = 371.70 : x
  2. Step 2: Convert to fraction form
    482.57/664.94 = 371.70/x
  3. Step 3: Cross multiply
    482.57x = 664.94 × 371.70
  4. Step 4: Simplify right side
    482.57x = 247,159.13
  5. Step 5: Solve for x
    x = 247,159.13/482.57
  6. Step 6: Final answer
    x = 512.17

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