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Finding the Fourth Proportional to 463.49, 695.23 and 203.43

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Solution

The fourth proportional to 463.49, 695.23 and 203.43 is: 305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.49 : 695.23 = 203.43 : x
  2. Step 2: Convert to fraction form
    463.49/695.23 = 203.43/x
  3. Step 3: Cross multiply
    463.49x = 695.23 × 203.43
  4. Step 4: Simplify right side
    463.49x = 141,426.65
  5. Step 5: Solve for x
    x = 141,426.65/463.49
  6. Step 6: Final answer
    x = 305.14

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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.