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Finding the Fourth Proportional to 913.65, 1,370.16 and 365.69

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Solution

The fourth proportional to 913.65, 1,370.16 and 365.69 is: 548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.65 : 1,370.16 = 365.69 : x
  2. Step 2: Convert to fraction form
    913.65/1,370.16 = 365.69/x
  3. Step 3: Cross multiply
    913.65x = 1,370.16 × 365.69
  4. Step 4: Simplify right side
    913.65x = 501,053.81
  5. Step 5: Solve for x
    x = 501,053.81/913.65
  6. Step 6: Final answer
    x = 548.41

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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.