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Finding the Fourth Proportional to 463.53, 695.33 and 189.75

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Solution

The fourth proportional to 463.53, 695.33 and 189.75 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.53 : 695.33 = 189.75 : x
  2. Step 2: Convert to fraction form
    463.53/695.33 = 189.75/x
  3. Step 3: Cross multiply
    463.53x = 695.33 × 189.75
  4. Step 4: Simplify right side
    463.53x = 131,938.87
  5. Step 5: Solve for x
    x = 131,938.87/463.53
  6. Step 6: Final answer
    x = 284.64

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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.