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Finding the Fourth Proportional to 486.12, 674.28 and 468.61

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Solution

The fourth proportional to 486.12, 674.28 and 468.61 is: 649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.12 : 674.28 = 468.61 : x
  2. Step 2: Convert to fraction form
    486.12/674.28 = 468.61/x
  3. Step 3: Cross multiply
    486.12x = 674.28 × 468.61
  4. Step 4: Simplify right side
    486.12x = 315,971.24
  5. Step 5: Solve for x
    x = 315,971.24/486.12
  6. Step 6: Final answer
    x = 649.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.