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Finding the Fourth Proportional to 913.64, 1,370.61 and 366.19

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Solution

The fourth proportional to 913.64, 1,370.61 and 366.19 is: 549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,370.61 = 366.19 : x
  2. Step 2: Convert to fraction form
    913.64/1,370.61 = 366.19/x
  3. Step 3: Cross multiply
    913.64x = 1,370.61 × 366.19
  4. Step 4: Simplify right side
    913.64x = 501,900.25
  5. Step 5: Solve for x
    x = 501,900.25/913.64
  6. Step 6: Final answer
    x = 549.34

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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.