Home / 596.37-822.23-386.18

Finding the Fourth Proportional to 596.37, 822.23 and 386.18

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Solution

The fourth proportional to 596.37, 822.23 and 386.18 is: 532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 822.23 = 386.18 : x
  2. Step 2: Convert to fraction form
    596.37/822.23 = 386.18/x
  3. Step 3: Cross multiply
    596.37x = 822.23 × 386.18
  4. Step 4: Simplify right side
    596.37x = 317,528.78
  5. Step 5: Solve for x
    x = 317,528.78/596.37
  6. Step 6: Final answer
    x = 532.44

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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.