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Finding the Fourth Proportional to 674.46, 930.56 and 477.63

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Solution

The fourth proportional to 674.46, 930.56 and 477.63 is: 658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 930.56 = 477.63 : x
  2. Step 2: Convert to fraction form
    674.46/930.56 = 477.63/x
  3. Step 3: Cross multiply
    674.46x = 930.56 × 477.63
  4. Step 4: Simplify right side
    674.46x = 444,460.98
  5. Step 5: Solve for x
    x = 444,460.98/674.46
  6. Step 6: Final answer
    x = 658.99

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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.