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Finding the Fourth Proportional to 864.17, 1,296.29 and 287.09

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Solution

The fourth proportional to 864.17, 1,296.29 and 287.09 is: 430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.17 : 1,296.29 = 287.09 : x
  2. Step 2: Convert to fraction form
    864.17/1,296.29 = 287.09/x
  3. Step 3: Cross multiply
    864.17x = 1,296.29 × 287.09
  4. Step 4: Simplify right side
    864.17x = 372,146.13
  5. Step 5: Solve for x
    x = 372,146.13/864.17
  6. Step 6: Final answer
    x = 430.64

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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.