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Finding the Fourth Proportional to 931.19, 1,396.40 and 346.23

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Solution

The fourth proportional to 931.19, 1,396.40 and 346.23 is: 519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.19 : 1,396.40 = 346.23 : x
  2. Step 2: Convert to fraction form
    931.19/1,396.40 = 346.23/x
  3. Step 3: Cross multiply
    931.19x = 1,396.40 × 346.23
  4. Step 4: Simplify right side
    931.19x = 483,475.57
  5. Step 5: Solve for x
    x = 483,475.57/931.19
  6. Step 6: Final answer
    x = 519.20

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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.