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Finding the Fourth Proportional to 913.67, 1,370.29 and 365.71

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Solution

The fourth proportional to 913.67, 1,370.29 and 365.71 is: 548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.67 : 1,370.29 = 365.71 : x
  2. Step 2: Convert to fraction form
    913.67/1,370.29 = 365.71/x
  3. Step 3: Cross multiply
    913.67x = 1,370.29 × 365.71
  4. Step 4: Simplify right side
    913.67x = 501,120.08
  5. Step 5: Solve for x
    x = 501,120.08/913.67
  6. Step 6: Final answer
    x = 548.47

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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.