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Finding the Fourth Proportional to 863.19, 1,295.37 and 430.65

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Solution

The fourth proportional to 863.19, 1,295.37 and 430.65 is: 646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.19 : 1,295.37 = 430.65 : x
  2. Step 2: Convert to fraction form
    863.19/1,295.37 = 430.65/x
  3. Step 3: Cross multiply
    863.19x = 1,295.37 × 430.65
  4. Step 4: Simplify right side
    863.19x = 557,851.09
  5. Step 5: Solve for x
    x = 557,851.09/863.19
  6. Step 6: Final answer
    x = 646.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.