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Finding the Fourth Proportional to 476.19, 657.13 and 266.37

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Solution

The fourth proportional to 476.19, 657.13 and 266.37 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.19 : 657.13 = 266.37 : x
  2. Step 2: Convert to fraction form
    476.19/657.13 = 266.37/x
  3. Step 3: Cross multiply
    476.19x = 657.13 × 266.37
  4. Step 4: Simplify right side
    476.19x = 175,043.29
  5. Step 5: Solve for x
    x = 175,043.29/476.19
  6. Step 6: Final answer
    x = 367.59

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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.