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Finding the Fourth Proportional to 476.05, 656.89 and 266.24

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Solution

The fourth proportional to 476.05, 656.89 and 266.24 is: 367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.05 : 656.89 = 266.24 : x
  2. Step 2: Convert to fraction form
    476.05/656.89 = 266.24/x
  3. Step 3: Cross multiply
    476.05x = 656.89 × 266.24
  4. Step 4: Simplify right side
    476.05x = 174,886.44
  5. Step 5: Solve for x
    x = 174,886.44/476.05
  6. Step 6: Final answer
    x = 367.37

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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.