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Finding the Fourth Proportional to 613.10, 918.30 and 324.20

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Solution

The fourth proportional to 613.10, 918.30 and 324.20 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 918.30 = 324.20 : x
  2. Step 2: Convert to fraction form
    613.10/918.30 = 324.20/x
  3. Step 3: Cross multiply
    613.10x = 918.30 × 324.20
  4. Step 4: Simplify right side
    613.10x = 297,712.86
  5. Step 5: Solve for x
    x = 297,712.86/613.10
  6. Step 6: Final answer
    x = 485.59

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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.