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Finding the Fourth Proportional to 674.15, 930.16 and 425.76

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Solution

The fourth proportional to 674.15, 930.16 and 425.76 is: 587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.15 : 930.16 = 425.76 : x
  2. Step 2: Convert to fraction form
    674.15/930.16 = 425.76/x
  3. Step 3: Cross multiply
    674.15x = 930.16 × 425.76
  4. Step 4: Simplify right side
    674.15x = 396,020.77
  5. Step 5: Solve for x
    x = 396,020.77/674.15
  6. Step 6: Final answer
    x = 587.44

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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.