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Finding the Fourth Proportional to 463.65, 695.49 and 189.66

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Solution

The fourth proportional to 463.65, 695.49 and 189.66 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.65 : 695.49 = 189.66 : x
  2. Step 2: Convert to fraction form
    463.65/695.49 = 189.66/x
  3. Step 3: Cross multiply
    463.65x = 695.49 × 189.66
  4. Step 4: Simplify right side
    463.65x = 131,906.63
  5. Step 5: Solve for x
    x = 131,906.63/463.65
  6. Step 6: Final answer
    x = 284.50

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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.