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Finding the Fourth Proportional to 917.54, 1,376.18 and 301.17

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Solution

The fourth proportional to 917.54, 1,376.18 and 301.17 is: 451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.54 : 1,376.18 = 301.17 : x
  2. Step 2: Convert to fraction form
    917.54/1,376.18 = 301.17/x
  3. Step 3: Cross multiply
    917.54x = 1,376.18 × 301.17
  4. Step 4: Simplify right side
    917.54x = 414,462.62
  5. Step 5: Solve for x
    x = 414,462.62/917.54
  6. Step 6: Final answer
    x = 451.71

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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.