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Finding the Fourth Proportional to 864.29, 1,295.22 and 376.32

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Solution

The fourth proportional to 864.29, 1,295.22 and 376.32 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.29 : 1,295.22 = 376.32 : x
  2. Step 2: Convert to fraction form
    864.29/1,295.22 = 376.32/x
  3. Step 3: Cross multiply
    864.29x = 1,295.22 × 376.32
  4. Step 4: Simplify right side
    864.29x = 487,418.60
  5. Step 5: Solve for x
    x = 487,418.60/864.29
  6. Step 6: Final answer
    x = 563.95

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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.