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Finding the Fourth Proportional to 864.42, 1,296.78 and 287.28

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Solution

The fourth proportional to 864.42, 1,296.78 and 287.28 is: 430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,296.78 = 287.28 : x
  2. Step 2: Convert to fraction form
    864.42/1,296.78 = 287.28/x
  3. Step 3: Cross multiply
    864.42x = 1,296.78 × 287.28
  4. Step 4: Simplify right side
    864.42x = 372,538.96
  5. Step 5: Solve for x
    x = 372,538.96/864.42
  6. Step 6: Final answer
    x = 430.97

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