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Finding the Fourth Proportional to 931.44, 1,396.32 and 354.72

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Solution

The fourth proportional to 931.44, 1,396.32 and 354.72 is: 531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.44 : 1,396.32 = 354.72 : x
  2. Step 2: Convert to fraction form
    931.44/1,396.32 = 354.72/x
  3. Step 3: Cross multiply
    931.44x = 1,396.32 × 354.72
  4. Step 4: Simplify right side
    931.44x = 495,302.63
  5. Step 5: Solve for x
    x = 495,302.63/931.44
  6. Step 6: Final answer
    x = 531.76

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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.