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Finding the Fourth Proportional to 476.01, 656.69 and 276.82

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Solution

The fourth proportional to 476.01, 656.69 and 276.82 is: 381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.01 : 656.69 = 276.82 : x
  2. Step 2: Convert to fraction form
    476.01/656.69 = 276.82/x
  3. Step 3: Cross multiply
    476.01x = 656.69 × 276.82
  4. Step 4: Simplify right side
    476.01x = 181,785.59
  5. Step 5: Solve for x
    x = 181,785.59/476.01
  6. Step 6: Final answer
    x = 381.90

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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.