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Finding the Fourth Proportional to 610.64, 842.54 and 371.49

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Solution

The fourth proportional to 610.64, 842.54 and 371.49 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.64 : 842.54 = 371.49 : x
  2. Step 2: Convert to fraction form
    610.64/842.54 = 371.49/x
  3. Step 3: Cross multiply
    610.64x = 842.54 × 371.49
  4. Step 4: Simplify right side
    610.64x = 312,990.56
  5. Step 5: Solve for x
    x = 312,990.56/610.64
  6. Step 6: Final answer
    x = 512.56

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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.