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Finding the Fourth Proportional to 610.74, 842.46 and 374.58

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Solution

The fourth proportional to 610.74, 842.46 and 374.58 is: 516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.74 : 842.46 = 374.58 : x
  2. Step 2: Convert to fraction form
    610.74/842.46 = 374.58/x
  3. Step 3: Cross multiply
    610.74x = 842.46 × 374.58
  4. Step 4: Simplify right side
    610.74x = 315,568.67
  5. Step 5: Solve for x
    x = 315,568.67/610.74
  6. Step 6: Final answer
    x = 516.70

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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.