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Finding the Fourth Proportional to 596.04, 822.83 and 386.52

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Solution

The fourth proportional to 596.04, 822.83 and 386.52 is: 533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 822.83 = 386.52 : x
  2. Step 2: Convert to fraction form
    596.04/822.83 = 386.52/x
  3. Step 3: Cross multiply
    596.04x = 822.83 × 386.52
  4. Step 4: Simplify right side
    596.04x = 318,035.23
  5. Step 5: Solve for x
    x = 318,035.23/596.04
  6. Step 6: Final answer
    x = 533.58

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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.