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Finding the Fourth Proportional to 674.87, 930.70 and 464.67

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Solution

The fourth proportional to 674.87, 930.70 and 464.67 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.87 : 930.70 = 464.67 : x
  2. Step 2: Convert to fraction form
    674.87/930.70 = 464.67/x
  3. Step 3: Cross multiply
    674.87x = 930.70 × 464.67
  4. Step 4: Simplify right side
    674.87x = 432,468.37
  5. Step 5: Solve for x
    x = 432,468.37/674.87
  6. Step 6: Final answer
    x = 640.82

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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.