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Finding the Fourth Proportional to 674.86, 930.42 and 464.65

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Solution

The fourth proportional to 674.86, 930.42 and 464.65 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 930.42 = 464.65 : x
  2. Step 2: Convert to fraction form
    674.86/930.42 = 464.65/x
  3. Step 3: Cross multiply
    674.86x = 930.42 × 464.65
  4. Step 4: Simplify right side
    674.86x = 432,319.65
  5. Step 5: Solve for x
    x = 432,319.65/674.86
  6. Step 6: Final answer
    x = 640.61

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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.