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Finding the Fourth Proportional to 482.82, 666.29 and 275.82

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Solution

The fourth proportional to 482.82, 666.29 and 275.82 is: 380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.82 : 666.29 = 275.82 : x
  2. Step 2: Convert to fraction form
    482.82/666.29 = 275.82/x
  3. Step 3: Cross multiply
    482.82x = 666.29 × 275.82
  4. Step 4: Simplify right side
    482.82x = 183,774.73
  5. Step 5: Solve for x
    x = 183,774.73/482.82
  6. Step 6: Final answer
    x = 380.63

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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.