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Finding the Fourth Proportional to 463.32, 695.12 and 189.63

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Solution

The fourth proportional to 463.32, 695.12 and 189.63 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 695.12 = 189.63 : x
  2. Step 2: Convert to fraction form
    463.32/695.12 = 189.63/x
  3. Step 3: Cross multiply
    463.32x = 695.12 × 189.63
  4. Step 4: Simplify right side
    463.32x = 131,814.66
  5. Step 5: Solve for x
    x = 131,814.66/463.32
  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.