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Finding the Fourth Proportional to 913.79, 1,370.69 and 365.59

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Solution

The fourth proportional to 913.79, 1,370.69 and 365.59 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.79 : 1,370.69 = 365.59 : x
  2. Step 2: Convert to fraction form
    913.79/1,370.69 = 365.59/x
  3. Step 3: Cross multiply
    913.79x = 1,370.69 × 365.59
  4. Step 4: Simplify right side
    913.79x = 501,105.30
  5. Step 5: Solve for x
    x = 501,105.30/913.79
  6. Step 6: Final answer
    x = 548.38

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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.