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Finding the Fourth Proportional to 598.73, 827.37 and 451.10

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Solution

The fourth proportional to 598.73, 827.37 and 451.10 is: 623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.73 : 827.37 = 451.10 : x
  2. Step 2: Convert to fraction form
    598.73/827.37 = 451.10/x
  3. Step 3: Cross multiply
    598.73x = 827.37 × 451.10
  4. Step 4: Simplify right side
    598.73x = 373,228.68
  5. Step 5: Solve for x
    x = 373,228.68/598.73
  6. Step 6: Final answer
    x = 623.37

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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.