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Finding the Fourth Proportional to 476.69, 715.14 and 168.53

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Solution

The fourth proportional to 476.69, 715.14 and 168.53 is: 252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 715.14 = 168.53 : x
  2. Step 2: Convert to fraction form
    476.69/715.14 = 168.53/x
  3. Step 3: Cross multiply
    476.69x = 715.14 × 168.53
  4. Step 4: Simplify right side
    476.69x = 120,522.54
  5. Step 5: Solve for x
    x = 120,522.54/476.69
  6. Step 6: Final answer
    x = 252.83

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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.