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Finding the Fourth Proportional to 482.14, 665.35 and 261.09

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Solution

The fourth proportional to 482.14, 665.35 and 261.09 is: 360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 665.35 = 261.09 : x
  2. Step 2: Convert to fraction form
    482.14/665.35 = 261.09/x
  3. Step 3: Cross multiply
    482.14x = 665.35 × 261.09
  4. Step 4: Simplify right side
    482.14x = 173,715.58
  5. Step 5: Solve for x
    x = 173,715.58/482.14
  6. Step 6: Final answer
    x = 360.30

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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.