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Finding the Fourth Proportional to 488.80, 674.35 and 302.10

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Solution

The fourth proportional to 488.80, 674.35 and 302.10 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.80 : 674.35 = 302.10 : x
  2. Step 2: Convert to fraction form
    488.80/674.35 = 302.10/x
  3. Step 3: Cross multiply
    488.80x = 674.35 × 302.10
  4. Step 4: Simplify right side
    488.80x = 203,721.14
  5. Step 5: Solve for x
    x = 203,721.14/488.80
  6. Step 6: Final answer
    x = 416.78

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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.