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Finding the Fourth Proportional to 331.51, 457.39 and 207.23

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Solution

The fourth proportional to 331.51, 457.39 and 207.23 is: 285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.51 : 457.39 = 207.23 : x
  2. Step 2: Convert to fraction form
    331.51/457.39 = 207.23/x
  3. Step 3: Cross multiply
    331.51x = 457.39 × 207.23
  4. Step 4: Simplify right side
    331.51x = 94,784.93
  5. Step 5: Solve for x
    x = 94,784.93/331.51
  6. Step 6: Final answer
    x = 285.92

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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.