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Finding the Fourth Proportional to 913.69, 1,370.67 and 264.43

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Solution

The fourth proportional to 913.69, 1,370.67 and 264.43 is: 396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.69 : 1,370.67 = 264.43 : x
  2. Step 2: Convert to fraction form
    913.69/1,370.67 = 264.43/x
  3. Step 3: Cross multiply
    913.69x = 1,370.67 × 264.43
  4. Step 4: Simplify right side
    913.69x = 362,446.27
  5. Step 5: Solve for x
    x = 362,446.27/913.69
  6. Step 6: Final answer
    x = 396.68

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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.