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Finding the Fourth Proportional to 344.40, 517.41 and 283.65

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Solution

The fourth proportional to 344.40, 517.41 and 283.65 is: 426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 517.41 = 283.65 : x
  2. Step 2: Convert to fraction form
    344.40/517.41 = 283.65/x
  3. Step 3: Cross multiply
    344.40x = 517.41 × 283.65
  4. Step 4: Simplify right side
    344.40x = 146,763.35
  5. Step 5: Solve for x
    x = 146,763.35/344.40
  6. Step 6: Final answer
    x = 426.14

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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.