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Finding the Fourth Proportional to 610.30, 842.07 and 374.23

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Solution

The fourth proportional to 610.30, 842.07 and 374.23 is: 516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.30 : 842.07 = 374.23 : x
  2. Step 2: Convert to fraction form
    610.30/842.07 = 374.23/x
  3. Step 3: Cross multiply
    610.30x = 842.07 × 374.23
  4. Step 4: Simplify right side
    610.30x = 315,127.86
  5. Step 5: Solve for x
    x = 315,127.86/610.30
  6. Step 6: Final answer
    x = 516.35

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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.