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Finding the Fourth Proportional to 596.05, 822.01 and 386.00

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Solution

The fourth proportional to 596.05, 822.01 and 386.00 is: 532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.05 : 822.01 = 386.00 : x
  2. Step 2: Convert to fraction form
    596.05/822.01 = 386.00/x
  3. Step 3: Cross multiply
    596.05x = 822.01 × 386.00
  4. Step 4: Simplify right side
    596.05x = 317,299.22
  5. Step 5: Solve for x
    x = 317,299.22/596.05
  6. Step 6: Final answer
    x = 532.34

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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.