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Finding the Fourth Proportional to 864.68, 1,296.84 and 279.74

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Solution

The fourth proportional to 864.68, 1,296.84 and 279.74 is: 419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.68 : 1,296.84 = 279.74 : x
  2. Step 2: Convert to fraction form
    864.68/1,296.84 = 279.74/x
  3. Step 3: Cross multiply
    864.68x = 1,296.84 × 279.74
  4. Step 4: Simplify right side
    864.68x = 362,770.14
  5. Step 5: Solve for x
    x = 362,770.14/864.68
  6. Step 6: Final answer
    x = 419.54

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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.