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Finding the Fourth Proportional to 463.85, 695.26 and 189.88

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Solution

The fourth proportional to 463.85, 695.26 and 189.88 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 695.26 = 189.88 : x
  2. Step 2: Convert to fraction form
    463.85/695.26 = 189.88/x
  3. Step 3: Cross multiply
    463.85x = 695.26 × 189.88
  4. Step 4: Simplify right side
    463.85x = 132,015.97
  5. Step 5: Solve for x
    x = 132,015.97/463.85
  6. Step 6: Final answer
    x = 284.61

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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.