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Finding the Fourth Proportional to 488.74, 674.80 and 378.04

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Solution

The fourth proportional to 488.74, 674.80 and 378.04 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.74 : 674.80 = 378.04 : x
  2. Step 2: Convert to fraction form
    488.74/674.80 = 378.04/x
  3. Step 3: Cross multiply
    488.74x = 674.80 × 378.04
  4. Step 4: Simplify right side
    488.74x = 255,101.39
  5. Step 5: Solve for x
    x = 255,101.39/488.74
  6. Step 6: Final answer
    x = 521.96

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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.