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Finding the Fourth Proportional to 596.13, 822.83 and 419.13

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Solution

The fourth proportional to 596.13, 822.83 and 419.13 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.13 : 822.83 = 419.13 : x
  2. Step 2: Convert to fraction form
    596.13/822.83 = 419.13/x
  3. Step 3: Cross multiply
    596.13x = 822.83 × 419.13
  4. Step 4: Simplify right side
    596.13x = 344,870.64
  5. Step 5: Solve for x
    x = 344,870.64/596.13
  6. Step 6: Final answer
    x = 578.52

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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.