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Finding the Fourth Proportional to 613.81, 847.07 and 361.72

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Solution

The fourth proportional to 613.81, 847.07 and 361.72 is: 499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.81 : 847.07 = 361.72 : x
  2. Step 2: Convert to fraction form
    613.81/847.07 = 361.72/x
  3. Step 3: Cross multiply
    613.81x = 847.07 × 361.72
  4. Step 4: Simplify right side
    613.81x = 306,402.16
  5. Step 5: Solve for x
    x = 306,402.16/613.81
  6. Step 6: Final answer
    x = 499.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.