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Finding the Fourth Proportional to 913.16, 1,369.53 and 365.19

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Solution

The fourth proportional to 913.16, 1,369.53 and 365.19 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.16 : 1,369.53 = 365.19 : x
  2. Step 2: Convert to fraction form
    913.16/1,369.53 = 365.19/x
  3. Step 3: Cross multiply
    913.16x = 1,369.53 × 365.19
  4. Step 4: Simplify right side
    913.16x = 500,138.66
  5. Step 5: Solve for x
    x = 500,138.66/913.16
  6. Step 6: Final answer
    x = 547.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.