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Finding the Fourth Proportional to 674.63, 1,012.19 and 416.30

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Solution

The fourth proportional to 674.63, 1,012.19 and 416.30 is: 624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.63 : 1,012.19 = 416.30 : x
  2. Step 2: Convert to fraction form
    674.63/1,012.19 = 416.30/x
  3. Step 3: Cross multiply
    674.63x = 1,012.19 × 416.30
  4. Step 4: Simplify right side
    674.63x = 421,374.70
  5. Step 5: Solve for x
    x = 421,374.70/674.63
  6. Step 6: Final answer
    x = 624.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.