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Finding the Fourth Proportional to 456.11, 629.47 and 269.57

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Solution

The fourth proportional to 456.11, 629.47 and 269.57 is: 372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.11 : 629.47 = 269.57 : x
  2. Step 2: Convert to fraction form
    456.11/629.47 = 269.57/x
  3. Step 3: Cross multiply
    456.11x = 629.47 × 269.57
  4. Step 4: Simplify right side
    456.11x = 169,686.23
  5. Step 5: Solve for x
    x = 169,686.23/456.11
  6. Step 6: Final answer
    x = 372.03

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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.