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Finding the Fourth Proportional to 674.76, 931.14 and 394.98

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Solution

The fourth proportional to 674.76, 931.14 and 394.98 is: 545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 931.14 = 394.98 : x
  2. Step 2: Convert to fraction form
    674.76/931.14 = 394.98/x
  3. Step 3: Cross multiply
    674.76x = 931.14 × 394.98
  4. Step 4: Simplify right side
    674.76x = 367,781.68
  5. Step 5: Solve for x
    x = 367,781.68/674.76
  6. Step 6: Final answer
    x = 545.06

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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.