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Finding the Fourth Proportional to 931.37, 1,397.66 and 354.24

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Solution

The fourth proportional to 931.37, 1,397.66 and 354.24 is: 531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.37 : 1,397.66 = 354.24 : x
  2. Step 2: Convert to fraction form
    931.37/1,397.66 = 354.24/x
  3. Step 3: Cross multiply
    931.37x = 1,397.66 × 354.24
  4. Step 4: Simplify right side
    931.37x = 495,105.31
  5. Step 5: Solve for x
    x = 495,105.31/931.37
  6. Step 6: Final answer
    x = 531.59

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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.