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Finding the Fourth Proportional to 936.64, 1,404.38 and 389.20

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Solution

The fourth proportional to 936.64, 1,404.38 and 389.20 is: 583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.64 : 1,404.38 = 389.20 : x
  2. Step 2: Convert to fraction form
    936.64/1,404.38 = 389.20/x
  3. Step 3: Cross multiply
    936.64x = 1,404.38 × 389.20
  4. Step 4: Simplify right side
    936.64x = 546,584.70
  5. Step 5: Solve for x
    x = 546,584.70/936.64
  6. Step 6: Final answer
    x = 583.56

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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.