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Finding the Fourth Proportional to 911.70, 1,367.54 and 253.58

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Solution

The fourth proportional to 911.70, 1,367.54 and 253.58 is: 380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.70 : 1,367.54 = 253.58 : x
  2. Step 2: Convert to fraction form
    911.70/1,367.54 = 253.58/x
  3. Step 3: Cross multiply
    911.70x = 1,367.54 × 253.58
  4. Step 4: Simplify right side
    911.70x = 346,780.79
  5. Step 5: Solve for x
    x = 346,780.79/911.70
  6. Step 6: Final answer
    x = 380.37

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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.