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Finding the Fourth Proportional to 610.77, 842.45 and 377.49

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Solution

The fourth proportional to 610.77, 842.45 and 377.49 is: 520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.77 : 842.45 = 377.49 : x
  2. Step 2: Convert to fraction form
    610.77/842.45 = 377.49/x
  3. Step 3: Cross multiply
    610.77x = 842.45 × 377.49
  4. Step 4: Simplify right side
    610.77x = 318,014.56
  5. Step 5: Solve for x
    x = 318,014.56/610.77
  6. Step 6: Final answer
    x = 520.68

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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.