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Finding the Fourth Proportional to 596.30, 822.87 and 347.63

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Solution

The fourth proportional to 596.30, 822.87 and 347.63 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 822.87 = 347.63 : x
  2. Step 2: Convert to fraction form
    596.30/822.87 = 347.63/x
  3. Step 3: Cross multiply
    596.30x = 822.87 × 347.63
  4. Step 4: Simplify right side
    596.30x = 286,050.18
  5. Step 5: Solve for x
    x = 286,050.18/596.30
  6. Step 6: Final answer
    x = 479.71

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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.