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Finding the Fourth Proportional to 476.41, 657.42 and 266.61

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Solution

The fourth proportional to 476.41, 657.42 and 266.61 is: 367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.41 : 657.42 = 266.61 : x
  2. Step 2: Convert to fraction form
    476.41/657.42 = 266.61/x
  3. Step 3: Cross multiply
    476.41x = 657.42 × 266.61
  4. Step 4: Simplify right side
    476.41x = 175,274.75
  5. Step 5: Solve for x
    x = 175,274.75/476.41
  6. Step 6: Final answer
    x = 367.91

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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.