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Finding the Fourth Proportional to 488.43, 674.49 and 314.08

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Solution

The fourth proportional to 488.43, 674.49 and 314.08 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.43 : 674.49 = 314.08 : x
  2. Step 2: Convert to fraction form
    488.43/674.49 = 314.08/x
  3. Step 3: Cross multiply
    488.43x = 674.49 × 314.08
  4. Step 4: Simplify right side
    488.43x = 211,843.82
  5. Step 5: Solve for x
    x = 211,843.82/488.43
  6. Step 6: Final answer
    x = 433.72

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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.