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Finding the Fourth Proportional to 600.02, 827.41 and 390.30

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Solution

The fourth proportional to 600.02, 827.41 and 390.30 is: 538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 827.41 = 390.30 : x
  2. Step 2: Convert to fraction form
    600.02/827.41 = 390.30/x
  3. Step 3: Cross multiply
    600.02x = 827.41 × 390.30
  4. Step 4: Simplify right side
    600.02x = 322,938.12
  5. Step 5: Solve for x
    x = 322,938.12/600.02
  6. Step 6: Final answer
    x = 538.21

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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.