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Finding the Fourth Proportional to 463.94, 695.94 and 382.53

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Solution

The fourth proportional to 463.94, 695.94 and 382.53 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.94 : 695.94 = 382.53 : x
  2. Step 2: Convert to fraction form
    463.94/695.94 = 382.53/x
  3. Step 3: Cross multiply
    463.94x = 695.94 × 382.53
  4. Step 4: Simplify right side
    463.94x = 266,217.93
  5. Step 5: Solve for x
    x = 266,217.93/463.94
  6. Step 6: Final answer
    x = 573.83

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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.