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Finding the Fourth Proportional to 463.56, 695.34 and 189.35

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Solution

The fourth proportional to 463.56, 695.34 and 189.35 is: 284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 695.34 = 189.35 : x
  2. Step 2: Convert to fraction form
    463.56/695.34 = 189.35/x
  3. Step 3: Cross multiply
    463.56x = 695.34 × 189.35
  4. Step 4: Simplify right side
    463.56x = 131,662.63
  5. Step 5: Solve for x
    x = 131,662.63/463.56
  6. Step 6: Final answer
    x = 284.03

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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.