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Finding the Fourth Proportional to 690.45, 1,035.67 and 344.21

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Solution

The fourth proportional to 690.45, 1,035.67 and 344.21 is: 516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.45 : 1,035.67 = 344.21 : x
  2. Step 2: Convert to fraction form
    690.45/1,035.67 = 344.21/x
  3. Step 3: Cross multiply
    690.45x = 1,035.67 × 344.21
  4. Step 4: Simplify right side
    690.45x = 356,482.58
  5. Step 5: Solve for x
    x = 356,482.58/690.45
  6. Step 6: Final answer
    x = 516.31

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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.