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Finding the Fourth Proportional to 596.03, 822.29 and 347.25

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Solution

The fourth proportional to 596.03, 822.29 and 347.25 is: 479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.03 : 822.29 = 347.25 : x
  2. Step 2: Convert to fraction form
    596.03/822.29 = 347.25/x
  3. Step 3: Cross multiply
    596.03x = 822.29 × 347.25
  4. Step 4: Simplify right side
    596.03x = 285,541.55
  5. Step 5: Solve for x
    x = 285,541.55/596.03
  6. Step 6: Final answer
    x = 479.08

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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.