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Finding the Fourth Proportional to 463.85, 695.76 and 189.87

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Solution

The fourth proportional to 463.85, 695.76 and 189.87 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 695.76 = 189.87 : x
  2. Step 2: Convert to fraction form
    463.85/695.76 = 189.87/x
  3. Step 3: Cross multiply
    463.85x = 695.76 × 189.87
  4. Step 4: Simplify right side
    463.85x = 132,103.95
  5. Step 5: Solve for x
    x = 132,103.95/463.85
  6. Step 6: Final answer
    x = 284.80

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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.