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Finding the Fourth Proportional to 674.51, 930.71 and 394.67

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Solution

The fourth proportional to 674.51, 930.71 and 394.67 is: 544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 930.71 = 394.67 : x
  2. Step 2: Convert to fraction form
    674.51/930.71 = 394.67/x
  3. Step 3: Cross multiply
    674.51x = 930.71 × 394.67
  4. Step 4: Simplify right side
    674.51x = 367,326.63
  5. Step 5: Solve for x
    x = 367,326.63/674.51
  6. Step 6: Final answer
    x = 544.59

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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.