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Finding the Fourth Proportional to 488.75, 674.21 and 302.18

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Solution

The fourth proportional to 488.75, 674.21 and 302.18 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.75 : 674.21 = 302.18 : x
  2. Step 2: Convert to fraction form
    488.75/674.21 = 302.18/x
  3. Step 3: Cross multiply
    488.75x = 674.21 × 302.18
  4. Step 4: Simplify right side
    488.75x = 203,730.16
  5. Step 5: Solve for x
    x = 203,730.16/488.75
  6. Step 6: Final answer
    x = 416.84

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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.