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Finding the Fourth Proportional to 864.16, 1,296.30 and 286.84

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Solution

The fourth proportional to 864.16, 1,296.30 and 286.84 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.16 : 1,296.30 = 286.84 : x
  2. Step 2: Convert to fraction form
    864.16/1,296.30 = 286.84/x
  3. Step 3: Cross multiply
    864.16x = 1,296.30 × 286.84
  4. Step 4: Simplify right side
    864.16x = 371,830.69
  5. Step 5: Solve for x
    x = 371,830.69/864.16
  6. Step 6: Final answer
    x = 430.28

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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.