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Finding the Fourth Proportional to 476.46, 657.44 and 266.63

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Solution

The fourth proportional to 476.46, 657.44 and 266.63 is: 367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.46 : 657.44 = 266.63 : x
  2. Step 2: Convert to fraction form
    476.46/657.44 = 266.63/x
  3. Step 3: Cross multiply
    476.46x = 657.44 × 266.63
  4. Step 4: Simplify right side
    476.46x = 175,288.61
  5. Step 5: Solve for x
    x = 175,288.61/476.46
  6. Step 6: Final answer
    x = 367.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.