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Finding the Fourth Proportional to 475.97, 656.83 and 276.82

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Solution

The fourth proportional to 475.97, 656.83 and 276.82 is: 382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.97 : 656.83 = 276.82 : x
  2. Step 2: Convert to fraction form
    475.97/656.83 = 276.82/x
  3. Step 3: Cross multiply
    475.97x = 656.83 × 276.82
  4. Step 4: Simplify right side
    475.97x = 181,823.81
  5. Step 5: Solve for x
    x = 181,823.81/475.97
  6. Step 6: Final answer
    x = 382.00

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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.