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Finding the Fourth Proportional to 463.63, 695.45 and 220.18

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Solution

The fourth proportional to 463.63, 695.45 and 220.18 is: 330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.63 : 695.45 = 220.18 : x
  2. Step 2: Convert to fraction form
    463.63/695.45 = 220.18/x
  3. Step 3: Cross multiply
    463.63x = 695.45 × 220.18
  4. Step 4: Simplify right side
    463.63x = 153,124.18
  5. Step 5: Solve for x
    x = 153,124.18/463.63
  6. Step 6: Final answer
    x = 330.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.