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Finding the Fourth Proportional to 486.73, 730.16 and 174.35

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Solution

The fourth proportional to 486.73, 730.16 and 174.35 is: 261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.73 : 730.16 = 174.35 : x
  2. Step 2: Convert to fraction form
    486.73/730.16 = 174.35/x
  3. Step 3: Cross multiply
    486.73x = 730.16 × 174.35
  4. Step 4: Simplify right side
    486.73x = 127,305.66
  5. Step 5: Solve for x
    x = 127,305.66/486.73
  6. Step 6: Final answer
    x = 261.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.