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Finding the Fourth Proportional to 596.14, 822.66 and 347.50

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Solution

The fourth proportional to 596.14, 822.66 and 347.50 is: 479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.14 : 822.66 = 347.50 : x
  2. Step 2: Convert to fraction form
    596.14/822.66 = 347.50/x
  3. Step 3: Cross multiply
    596.14x = 822.66 × 347.50
  4. Step 4: Simplify right side
    596.14x = 285,874.35
  5. Step 5: Solve for x
    x = 285,874.35/596.14
  6. Step 6: Final answer
    x = 479.54

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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.