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Finding the Fourth Proportional to 482.66, 666.17 and 272.84

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Solution

The fourth proportional to 482.66, 666.17 and 272.84 is: 376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.66 : 666.17 = 272.84 : x
  2. Step 2: Convert to fraction form
    482.66/666.17 = 272.84/x
  3. Step 3: Cross multiply
    482.66x = 666.17 × 272.84
  4. Step 4: Simplify right side
    482.66x = 181,753.13
  5. Step 5: Solve for x
    x = 181,753.13/482.66
  6. Step 6: Final answer
    x = 376.57

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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.