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Finding the Fourth Proportional to 613.54, 846.74 and 377.55

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Solution

The fourth proportional to 613.54, 846.74 and 377.55 is: 521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.54 : 846.74 = 377.55 : x
  2. Step 2: Convert to fraction form
    613.54/846.74 = 377.55/x
  3. Step 3: Cross multiply
    613.54x = 846.74 × 377.55
  4. Step 4: Simplify right side
    613.54x = 319,687.63
  5. Step 5: Solve for x
    x = 319,687.63/613.54
  6. Step 6: Final answer
    x = 521.05

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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.