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Finding the Fourth Proportional to 931.36, 1,396.08 and 383.92

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Solution

The fourth proportional to 931.36, 1,396.08 and 383.92 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.36 : 1,396.08 = 383.92 : x
  2. Step 2: Convert to fraction form
    931.36/1,396.08 = 383.92/x
  3. Step 3: Cross multiply
    931.36x = 1,396.08 × 383.92
  4. Step 4: Simplify right side
    931.36x = 535,983.03
  5. Step 5: Solve for x
    x = 535,983.03/931.36
  6. Step 6: Final answer
    x = 575.48

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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.