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Finding the Fourth Proportional to 931.79, 1,397.61 and 238.43

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Solution

The fourth proportional to 931.79, 1,397.61 and 238.43 is: 357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.79 : 1,397.61 = 238.43 : x
  2. Step 2: Convert to fraction form
    931.79/1,397.61 = 238.43/x
  3. Step 3: Cross multiply
    931.79x = 1,397.61 × 238.43
  4. Step 4: Simplify right side
    931.79x = 333,225.16
  5. Step 5: Solve for x
    x = 333,225.16/931.79
  6. Step 6: Final answer
    x = 357.62

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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.