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Finding the Fourth Proportional to 883.91, 1,325.04 and 306.38

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Solution

The fourth proportional to 883.91, 1,325.04 and 306.38 is: 459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.91 : 1,325.04 = 306.38 : x
  2. Step 2: Convert to fraction form
    883.91/1,325.04 = 306.38/x
  3. Step 3: Cross multiply
    883.91x = 1,325.04 × 306.38
  4. Step 4: Simplify right side
    883.91x = 405,965.76
  5. Step 5: Solve for x
    x = 405,965.76/883.91
  6. Step 6: Final answer
    x = 459.28

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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.