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Finding the Fourth Proportional to 613.10, 846.23 and 377.21

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Solution

The fourth proportional to 613.10, 846.23 and 377.21 is: 520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 846.23 = 377.21 : x
  2. Step 2: Convert to fraction form
    613.10/846.23 = 377.21/x
  3. Step 3: Cross multiply
    613.10x = 846.23 × 377.21
  4. Step 4: Simplify right side
    613.10x = 319,203.13
  5. Step 5: Solve for x
    x = 319,203.13/613.10
  6. Step 6: Final answer
    x = 520.64

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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.