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Finding the Fourth Proportional to 463.26, 695.19 and 220.06

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Solution

The fourth proportional to 463.26, 695.19 and 220.06 is: 330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.26 : 695.19 = 220.06 : x
  2. Step 2: Convert to fraction form
    463.26/695.19 = 220.06/x
  3. Step 3: Cross multiply
    463.26x = 695.19 × 220.06
  4. Step 4: Simplify right side
    463.26x = 152,983.51
  5. Step 5: Solve for x
    x = 152,983.51/463.26
  6. Step 6: Final answer
    x = 330.23

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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.