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Finding the Fourth Proportional to 863.36, 1,295.88 and 430.82

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Solution

The fourth proportional to 863.36, 1,295.88 and 430.82 is: 646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.36 : 1,295.88 = 430.82 : x
  2. Step 2: Convert to fraction form
    863.36/1,295.88 = 430.82/x
  3. Step 3: Cross multiply
    863.36x = 1,295.88 × 430.82
  4. Step 4: Simplify right side
    863.36x = 558,291.02
  5. Step 5: Solve for x
    x = 558,291.02/863.36
  6. Step 6: Final answer
    x = 646.65

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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.