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Finding the Fourth Proportional to 463.92, 695.85 and 189.93

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Solution

The fourth proportional to 463.92, 695.85 and 189.93 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 695.85 = 189.93 : x
  2. Step 2: Convert to fraction form
    463.92/695.85 = 189.93/x
  3. Step 3: Cross multiply
    463.92x = 695.85 × 189.93
  4. Step 4: Simplify right side
    463.92x = 132,162.79
  5. Step 5: Solve for x
    x = 132,162.79/463.92
  6. Step 6: Final answer
    x = 284.88

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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.