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Finding the Fourth Proportional to 463.51, 695.23 and 116.83

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Solution

The fourth proportional to 463.51, 695.23 and 116.83 is: 175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.51 : 695.23 = 116.83 : x
  2. Step 2: Convert to fraction form
    463.51/695.23 = 116.83/x
  3. Step 3: Cross multiply
    463.51x = 695.23 × 116.83
  4. Step 4: Simplify right side
    463.51x = 81,221.69
  5. Step 5: Solve for x
    x = 81,221.69/463.51
  6. Step 6: Final answer
    x = 175.23

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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.