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Finding the Fourth Proportional to 596.15, 822 and 383.18

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Solution

The fourth proportional to 596.15, 822 and 383.18 is: 528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.15 : 822 = 383.18 : x
  2. Step 2: Convert to fraction form
    596.15/822 = 383.18/x
  3. Step 3: Cross multiply
    596.15x = 822 × 383.18
  4. Step 4: Simplify right side
    596.15x = 314,976.02
  5. Step 5: Solve for x
    x = 314,976.02/596.15
  6. Step 6: Final answer
    x = 528.35

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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.