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Finding the Fourth Proportional to 864.14, 1,295.93 and 286.88

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Solution

The fourth proportional to 864.14, 1,295.93 and 286.88 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.14 : 1,295.93 = 286.88 : x
  2. Step 2: Convert to fraction form
    864.14/1,295.93 = 286.88/x
  3. Step 3: Cross multiply
    864.14x = 1,295.93 × 286.88
  4. Step 4: Simplify right side
    864.14x = 371,770.64
  5. Step 5: Solve for x
    x = 371,770.64/864.14
  6. Step 6: Final answer
    x = 430.22

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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.