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Finding the Fourth Proportional to 613.69, 846.19 and 445.30

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Solution

The fourth proportional to 613.69, 846.19 and 445.30 is: 614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 846.19 = 445.30 : x
  2. Step 2: Convert to fraction form
    613.69/846.19 = 445.30/x
  3. Step 3: Cross multiply
    613.69x = 846.19 × 445.30
  4. Step 4: Simplify right side
    613.69x = 376,808.41
  5. Step 5: Solve for x
    x = 376,808.41/613.69
  6. Step 6: Final answer
    x = 614.00

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