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Finding the Fourth Proportional to 476.29, 657.26 and 266.47

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Solution

The fourth proportional to 476.29, 657.26 and 266.47 is: 367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.29 : 657.26 = 266.47 : x
  2. Step 2: Convert to fraction form
    476.29/657.26 = 266.47/x
  3. Step 3: Cross multiply
    476.29x = 657.26 × 266.47
  4. Step 4: Simplify right side
    476.29x = 175,137.10
  5. Step 5: Solve for x
    x = 175,137.10/476.29
  6. Step 6: Final answer
    x = 367.71

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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.