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Finding the Fourth Proportional to 463.76, 695.82 and 366.92

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Solution

The fourth proportional to 463.76, 695.82 and 366.92 is: 550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 695.82 = 366.92 : x
  2. Step 2: Convert to fraction form
    463.76/695.82 = 366.92/x
  3. Step 3: Cross multiply
    463.76x = 695.82 × 366.92
  4. Step 4: Simplify right side
    463.76x = 255,310.27
  5. Step 5: Solve for x
    x = 255,310.27/463.76
  6. Step 6: Final answer
    x = 550.52

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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.