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Finding the Fourth Proportional to 476.08, 656.84 and 266.23

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Solution

The fourth proportional to 476.08, 656.84 and 266.23 is: 367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 656.84 = 266.23 : x
  2. Step 2: Convert to fraction form
    476.08/656.84 = 266.23/x
  3. Step 3: Cross multiply
    476.08x = 656.84 × 266.23
  4. Step 4: Simplify right side
    476.08x = 174,866.56
  5. Step 5: Solve for x
    x = 174,866.56/476.08
  6. Step 6: Final answer
    x = 367.31

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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.