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Finding the Fourth Proportional to 463.84, 695.96 and 189.99

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Solution

The fourth proportional to 463.84, 695.96 and 189.99 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 695.96 = 189.99 : x
  2. Step 2: Convert to fraction form
    463.84/695.96 = 189.99/x
  3. Step 3: Cross multiply
    463.84x = 695.96 × 189.99
  4. Step 4: Simplify right side
    463.84x = 132,225.20
  5. Step 5: Solve for x
    x = 132,225.20/463.84
  6. Step 6: Final answer
    x = 285.07

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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.