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Finding the Fourth Proportional to 613.18, 918.93 and 324.04

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Solution

The fourth proportional to 613.18, 918.93 and 324.04 is: 485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.18 : 918.93 = 324.04 : x
  2. Step 2: Convert to fraction form
    613.18/918.93 = 324.04/x
  3. Step 3: Cross multiply
    613.18x = 918.93 × 324.04
  4. Step 4: Simplify right side
    613.18x = 297,770.08
  5. Step 5: Solve for x
    x = 297,770.08/613.18
  6. Step 6: Final answer
    x = 485.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.