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Finding the Fourth Proportional to 600.60, 827.86 and 453.16

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Solution

The fourth proportional to 600.60, 827.86 and 453.16 is: 624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.60 : 827.86 = 453.16 : x
  2. Step 2: Convert to fraction form
    600.60/827.86 = 453.16/x
  3. Step 3: Cross multiply
    600.60x = 827.86 × 453.16
  4. Step 4: Simplify right side
    600.60x = 375,153.04
  5. Step 5: Solve for x
    x = 375,153.04/600.60
  6. Step 6: Final answer
    x = 624.63

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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.