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Finding the Fourth Proportional to 613.74, 920.64 and 382.48

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Solution

The fourth proportional to 613.74, 920.64 and 382.48 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 920.64 = 382.48 : x
  2. Step 2: Convert to fraction form
    613.74/920.64 = 382.48/x
  3. Step 3: Cross multiply
    613.74x = 920.64 × 382.48
  4. Step 4: Simplify right side
    613.74x = 352,126.39
  5. Step 5: Solve for x
    x = 352,126.39/613.74
  6. Step 6: Final answer
    x = 573.74

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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.