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Finding the Fourth Proportional to 690.62, 1,035.18 and 344.21

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Solution

The fourth proportional to 690.62, 1,035.18 and 344.21 is: 515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.62 : 1,035.18 = 344.21 : x
  2. Step 2: Convert to fraction form
    690.62/1,035.18 = 344.21/x
  3. Step 3: Cross multiply
    690.62x = 1,035.18 × 344.21
  4. Step 4: Simplify right side
    690.62x = 356,320.60
  5. Step 5: Solve for x
    x = 356,320.60/690.62
  6. Step 6: Final answer
    x = 515.94

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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.