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Finding the Fourth Proportional to 354.66, 488.82 and 261.22

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Solution

The fourth proportional to 354.66, 488.82 and 261.22 is: 360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.66 : 488.82 = 261.22 : x
  2. Step 2: Convert to fraction form
    354.66/488.82 = 261.22/x
  3. Step 3: Cross multiply
    354.66x = 488.82 × 261.22
  4. Step 4: Simplify right side
    354.66x = 127,689.56
  5. Step 5: Solve for x
    x = 127,689.56/354.66
  6. Step 6: Final answer
    x = 360.03

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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.