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Finding the Fourth Proportional to 488.90, 674.87 and 314.25

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Solution

The fourth proportional to 488.90, 674.87 and 314.25 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.90 : 674.87 = 314.25 : x
  2. Step 2: Convert to fraction form
    488.90/674.87 = 314.25/x
  3. Step 3: Cross multiply
    488.90x = 674.87 × 314.25
  4. Step 4: Simplify right side
    488.90x = 212,076.33
  5. Step 5: Solve for x
    x = 212,076.33/488.90
  6. Step 6: Final answer
    x = 433.79

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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.