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Finding the Fourth Proportional to 475.81, 656.58 and 265.97

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Solution

The fourth proportional to 475.81, 656.58 and 265.97 is: 367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.81 : 656.58 = 265.97 : x
  2. Step 2: Convert to fraction form
    475.81/656.58 = 265.97/x
  3. Step 3: Cross multiply
    475.81x = 656.58 × 265.97
  4. Step 4: Simplify right side
    475.81x = 174,633.22
  5. Step 5: Solve for x
    x = 174,633.22/475.81
  6. Step 6: Final answer
    x = 367.02

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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.