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Finding the Fourth Proportional to 596.04, 822.57 and 448.41

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Solution

The fourth proportional to 596.04, 822.57 and 448.41 is: 618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 822.57 = 448.41 : x
  2. Step 2: Convert to fraction form
    596.04/822.57 = 448.41/x
  3. Step 3: Cross multiply
    596.04x = 822.57 × 448.41
  4. Step 4: Simplify right side
    596.04x = 368,848.61
  5. Step 5: Solve for x
    x = 368,848.61/596.04
  6. Step 6: Final answer
    x = 618.83

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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.