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Finding the Fourth Proportional to 475.98, 656.81 and 266.19

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Solution

The fourth proportional to 475.98, 656.81 and 266.19 is: 367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.98 : 656.81 = 266.19 : x
  2. Step 2: Convert to fraction form
    475.98/656.81 = 266.19/x
  3. Step 3: Cross multiply
    475.98x = 656.81 × 266.19
  4. Step 4: Simplify right side
    475.98x = 174,836.25
  5. Step 5: Solve for x
    x = 174,836.25/475.98
  6. Step 6: Final answer
    x = 367.32

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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.