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Finding the Fourth Proportional to 600.06, 827.93 and 347.94

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Solution

The fourth proportional to 600.06, 827.93 and 347.94 is: 480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.06 : 827.93 = 347.94 : x
  2. Step 2: Convert to fraction form
    600.06/827.93 = 347.94/x
  3. Step 3: Cross multiply
    600.06x = 827.93 × 347.94
  4. Step 4: Simplify right side
    600.06x = 288,068.22
  5. Step 5: Solve for x
    x = 288,068.22/600.06
  6. Step 6: Final answer
    x = 480.07

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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.