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Finding the Fourth Proportional to 864.22, 1,296.34 and 287.10

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Solution

The fourth proportional to 864.22, 1,296.34 and 287.10 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.22 : 1,296.34 = 287.10 : x
  2. Step 2: Convert to fraction form
    864.22/1,296.34 = 287.10/x
  3. Step 3: Cross multiply
    864.22x = 1,296.34 × 287.10
  4. Step 4: Simplify right side
    864.22x = 372,179.21
  5. Step 5: Solve for x
    x = 372,179.21/864.22
  6. Step 6: Final answer
    x = 430.65

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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.