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Finding the Fourth Proportional to 486.53, 727.66 and 280.59

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Solution

The fourth proportional to 486.53, 727.66 and 280.59 is: 419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.53 : 727.66 = 280.59 : x
  2. Step 2: Convert to fraction form
    486.53/727.66 = 280.59/x
  3. Step 3: Cross multiply
    486.53x = 727.66 × 280.59
  4. Step 4: Simplify right side
    486.53x = 204,174.12
  5. Step 5: Solve for x
    x = 204,174.12/486.53
  6. Step 6: Final answer
    x = 419.65

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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.