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Finding the Fourth Proportional to 613.48, 846.30 and 377.50

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Solution

The fourth proportional to 613.48, 846.30 and 377.50 is: 520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.48 : 846.30 = 377.50 : x
  2. Step 2: Convert to fraction form
    613.48/846.30 = 377.50/x
  3. Step 3: Cross multiply
    613.48x = 846.30 × 377.50
  4. Step 4: Simplify right side
    613.48x = 319,478.25
  5. Step 5: Solve for x
    x = 319,478.25/613.48
  6. Step 6: Final answer
    x = 520.76

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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.