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Finding the Fourth Proportional to 913.48, 1,369.18 and 393.22

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Solution

The fourth proportional to 913.48, 1,369.18 and 393.22 is: 589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.48 : 1,369.18 = 393.22 : x
  2. Step 2: Convert to fraction form
    913.48/1,369.18 = 393.22/x
  3. Step 3: Cross multiply
    913.48x = 1,369.18 × 393.22
  4. Step 4: Simplify right side
    913.48x = 538,388.96
  5. Step 5: Solve for x
    x = 538,388.96/913.48
  6. Step 6: Final answer
    x = 589.38

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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.