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Finding the Fourth Proportional to 913.65, 1,371.11 and 365.96

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Solution

The fourth proportional to 913.65, 1,371.11 and 365.96 is: 549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.65 : 1,371.11 = 365.96 : x
  2. Step 2: Convert to fraction form
    913.65/1,371.11 = 365.96/x
  3. Step 3: Cross multiply
    913.65x = 1,371.11 × 365.96
  4. Step 4: Simplify right side
    913.65x = 501,762.73
  5. Step 5: Solve for x
    x = 501,762.73/913.65
  6. Step 6: Final answer
    x = 549.18

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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.