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Finding the Fourth Proportional to 690.39, 1,035.41 and 324.81

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Solution

The fourth proportional to 690.39, 1,035.41 and 324.81 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.39 : 1,035.41 = 324.81 : x
  2. Step 2: Convert to fraction form
    690.39/1,035.41 = 324.81/x
  3. Step 3: Cross multiply
    690.39x = 1,035.41 × 324.81
  4. Step 4: Simplify right side
    690.39x = 336,309.90
  5. Step 5: Solve for x
    x = 336,309.90/690.39
  6. Step 6: Final answer
    x = 487.13

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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.