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Finding the Fourth Proportional to 864.34, 1,296.48 and 287.22

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Solution

The fourth proportional to 864.34, 1,296.48 and 287.22 is: 430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.34 : 1,296.48 = 287.22 : x
  2. Step 2: Convert to fraction form
    864.34/1,296.48 = 287.22/x
  3. Step 3: Cross multiply
    864.34x = 1,296.48 × 287.22
  4. Step 4: Simplify right side
    864.34x = 372,374.99
  5. Step 5: Solve for x
    x = 372,374.99/864.34
  6. Step 6: Final answer
    x = 430.82

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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.