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Finding the Fourth Proportional to 613.69, 847.46 and 393.10

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Solution

The fourth proportional to 613.69, 847.46 and 393.10 is: 542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 847.46 = 393.10 : x
  2. Step 2: Convert to fraction form
    613.69/847.46 = 393.10/x
  3. Step 3: Cross multiply
    613.69x = 847.46 × 393.10
  4. Step 4: Simplify right side
    613.69x = 333,136.53
  5. Step 5: Solve for x
    x = 333,136.53/613.69
  6. Step 6: Final answer
    x = 542.84

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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.