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Finding the Fourth Proportional to 488.49, 674.34 and 302.09

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Solution

The fourth proportional to 488.49, 674.34 and 302.09 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 674.34 = 302.09 : x
  2. Step 2: Convert to fraction form
    488.49/674.34 = 302.09/x
  3. Step 3: Cross multiply
    488.49x = 674.34 × 302.09
  4. Step 4: Simplify right side
    488.49x = 203,708.00
  5. Step 5: Solve for x
    x = 203,708.00/488.49
  6. Step 6: Final answer
    x = 417.02

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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.