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Finding the Fourth Proportional to 596.03, 822.56 and 448.43

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Solution

The fourth proportional to 596.03, 822.56 and 448.43 is: 618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.03 : 822.56 = 448.43 : x
  2. Step 2: Convert to fraction form
    596.03/822.56 = 448.43/x
  3. Step 3: Cross multiply
    596.03x = 822.56 × 448.43
  4. Step 4: Simplify right side
    596.03x = 368,854.23
  5. Step 5: Solve for x
    x = 368,854.23/596.03
  6. Step 6: Final answer
    x = 618.86

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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.