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Finding the Fourth Proportional to 596.22, 822.42 and 386.06

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Solution

The fourth proportional to 596.22, 822.42 and 386.06 is: 532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.22 : 822.42 = 386.06 : x
  2. Step 2: Convert to fraction form
    596.22/822.42 = 386.06/x
  3. Step 3: Cross multiply
    596.22x = 822.42 × 386.06
  4. Step 4: Simplify right side
    596.22x = 317,503.47
  5. Step 5: Solve for x
    x = 317,503.47/596.22
  6. Step 6: Final answer
    x = 532.53

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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.