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Finding the Fourth Proportional to 463.22, 695.14 and 246.96

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Solution

The fourth proportional to 463.22, 695.14 and 246.96 is: 370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.22 : 695.14 = 246.96 : x
  2. Step 2: Convert to fraction form
    463.22/695.14 = 246.96/x
  3. Step 3: Cross multiply
    463.22x = 695.14 × 246.96
  4. Step 4: Simplify right side
    463.22x = 171,671.77
  5. Step 5: Solve for x
    x = 171,671.77/463.22
  6. Step 6: Final answer
    x = 370.61

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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.