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Finding the Fourth Proportional to 913.14, 1,369.42 and 365.16

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Solution

The fourth proportional to 913.14, 1,369.42 and 365.16 is: 547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.14 : 1,369.42 = 365.16 : x
  2. Step 2: Convert to fraction form
    913.14/1,369.42 = 365.16/x
  3. Step 3: Cross multiply
    913.14x = 1,369.42 × 365.16
  4. Step 4: Simplify right side
    913.14x = 500,057.41
  5. Step 5: Solve for x
    x = 500,057.41/913.14
  6. Step 6: Final answer
    x = 547.62

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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.