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Finding the Fourth Proportional to 613.60, 846.41 and 377.66

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Solution

The fourth proportional to 613.60, 846.41 and 377.66 is: 520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.60 : 846.41 = 377.66 : x
  2. Step 2: Convert to fraction form
    613.60/846.41 = 377.66/x
  3. Step 3: Cross multiply
    613.60x = 846.41 × 377.66
  4. Step 4: Simplify right side
    613.60x = 319,658.26
  5. Step 5: Solve for x
    x = 319,658.26/613.60
  6. Step 6: Final answer
    x = 520.96

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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.