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Finding the Fourth Proportional to 596.17, 822.74 and 347.47

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Solution

The fourth proportional to 596.17, 822.74 and 347.47 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.17 : 822.74 = 347.47 : x
  2. Step 2: Convert to fraction form
    596.17/822.74 = 347.47/x
  3. Step 3: Cross multiply
    596.17x = 822.74 × 347.47
  4. Step 4: Simplify right side
    596.17x = 285,877.47
  5. Step 5: Solve for x
    x = 285,877.47/596.17
  6. Step 6: Final answer
    x = 479.52

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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.