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Finding the Fourth Proportional to 488.89, 674.90 and 314.34

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Solution

The fourth proportional to 488.89, 674.90 and 314.34 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.89 : 674.90 = 314.34 : x
  2. Step 2: Convert to fraction form
    488.89/674.90 = 314.34/x
  3. Step 3: Cross multiply
    488.89x = 674.90 × 314.34
  4. Step 4: Simplify right side
    488.89x = 212,148.07
  5. Step 5: Solve for x
    x = 212,148.07/488.89
  6. Step 6: Final answer
    x = 433.94

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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.