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Finding the Fourth Proportional to 482.82, 666.28 and 261.77

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Solution

The fourth proportional to 482.82, 666.28 and 261.77 is: 361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.82 : 666.28 = 261.77 : x
  2. Step 2: Convert to fraction form
    482.82/666.28 = 261.77/x
  3. Step 3: Cross multiply
    482.82x = 666.28 × 261.77
  4. Step 4: Simplify right side
    482.82x = 174,409.11
  5. Step 5: Solve for x
    x = 174,409.11/482.82
  6. Step 6: Final answer
    x = 361.23

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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.