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Finding the Fourth Proportional to 596.10, 822.62 and 347.44

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Solution

The fourth proportional to 596.10, 822.62 and 347.44 is: 479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 822.62 = 347.44 : x
  2. Step 2: Convert to fraction form
    596.10/822.62 = 347.44/x
  3. Step 3: Cross multiply
    596.10x = 822.62 × 347.44
  4. Step 4: Simplify right side
    596.10x = 285,809.98
  5. Step 5: Solve for x
    x = 285,809.98/596.10
  6. Step 6: Final answer
    x = 479.47

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Double scale
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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.