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Finding the Fourth Proportional to 674.62, 1,012.48 and 350.08

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Solution

The fourth proportional to 674.62, 1,012.48 and 350.08 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.62 : 1,012.48 = 350.08 : x
  2. Step 2: Convert to fraction form
    674.62/1,012.48 = 350.08/x
  3. Step 3: Cross multiply
    674.62x = 1,012.48 × 350.08
  4. Step 4: Simplify right side
    674.62x = 354,449.00
  5. Step 5: Solve for x
    x = 354,449.00/674.62
  6. Step 6: Final answer
    x = 525.41

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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.