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Finding the Fourth Proportional to 486.57, 671.59 and 276.86

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Solution

The fourth proportional to 486.57, 671.59 and 276.86 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.57 : 671.59 = 276.86 : x
  2. Step 2: Convert to fraction form
    486.57/671.59 = 276.86/x
  3. Step 3: Cross multiply
    486.57x = 671.59 × 276.86
  4. Step 4: Simplify right side
    486.57x = 185,935.02
  5. Step 5: Solve for x
    x = 185,935.02/486.57
  6. Step 6: Final answer
    x = 382.14

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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.