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Finding the Fourth Proportional to 613.73, 846.79 and 364.95

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Solution

The fourth proportional to 613.73, 846.79 and 364.95 is: 503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.73 : 846.79 = 364.95 : x
  2. Step 2: Convert to fraction form
    613.73/846.79 = 364.95/x
  3. Step 3: Cross multiply
    613.73x = 846.79 × 364.95
  4. Step 4: Simplify right side
    613.73x = 309,036.01
  5. Step 5: Solve for x
    x = 309,036.01/613.73
  6. Step 6: Final answer
    x = 503.54

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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.