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Finding the Fourth Proportional to 488.24, 674.08 and 377.52

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Solution

The fourth proportional to 488.24, 674.08 and 377.52 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 674.08 = 377.52 : x
  2. Step 2: Convert to fraction form
    488.24/674.08 = 377.52/x
  3. Step 3: Cross multiply
    488.24x = 674.08 × 377.52
  4. Step 4: Simplify right side
    488.24x = 254,478.68
  5. Step 5: Solve for x
    x = 254,478.68/488.24
  6. Step 6: Final answer
    x = 521.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.