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Finding the Fourth Proportional to 883.94, 1,326.52 and 306.81

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Solution

The fourth proportional to 883.94, 1,326.52 and 306.81 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.94 : 1,326.52 = 306.81 : x
  2. Step 2: Convert to fraction form
    883.94/1,326.52 = 306.81/x
  3. Step 3: Cross multiply
    883.94x = 1,326.52 × 306.81
  4. Step 4: Simplify right side
    883.94x = 406,991.38
  5. Step 5: Solve for x
    x = 406,991.38/883.94
  6. Step 6: Final answer
    x = 460.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.