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Finding the Fourth Proportional to 913.23, 1,369.64 and 365.27

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Solution

The fourth proportional to 913.23, 1,369.64 and 365.27 is: 547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.23 : 1,369.64 = 365.27 : x
  2. Step 2: Convert to fraction form
    913.23/1,369.64 = 365.27/x
  3. Step 3: Cross multiply
    913.23x = 1,369.64 × 365.27
  4. Step 4: Simplify right side
    913.23x = 500,282.47
  5. Step 5: Solve for x
    x = 500,282.47/913.23
  6. Step 6: Final answer
    x = 547.82

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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.