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Finding the Fourth Proportional to 864.23, 1,296.44 and 279.27

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Solution

The fourth proportional to 864.23, 1,296.44 and 279.27 is: 418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.23 : 1,296.44 = 279.27 : x
  2. Step 2: Convert to fraction form
    864.23/1,296.44 = 279.27/x
  3. Step 3: Cross multiply
    864.23x = 1,296.44 × 279.27
  4. Step 4: Simplify right side
    864.23x = 362,055.40
  5. Step 5: Solve for x
    x = 362,055.40/864.23
  6. Step 6: Final answer
    x = 418.94

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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.