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Finding the Fourth Proportional to 613.06, 846.06 and 364.66

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Solution

The fourth proportional to 613.06, 846.06 and 364.66 is: 503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 846.06 = 364.66 : x
  2. Step 2: Convert to fraction form
    613.06/846.06 = 364.66/x
  3. Step 3: Cross multiply
    613.06x = 846.06 × 364.66
  4. Step 4: Simplify right side
    613.06x = 308,524.24
  5. Step 5: Solve for x
    x = 308,524.24/613.06
  6. Step 6: Final answer
    x = 503.25

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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.