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Finding the Fourth Proportional to 600.30, 827.94 and 507.30

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Solution

The fourth proportional to 600.30, 827.94 and 507.30 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 827.94 = 507.30 : x
  2. Step 2: Convert to fraction form
    600.30/827.94 = 507.30/x
  3. Step 3: Cross multiply
    600.30x = 827.94 × 507.30
  4. Step 4: Simplify right side
    600.30x = 420,013.96
  5. Step 5: Solve for x
    x = 420,013.96/600.30
  6. Step 6: Final answer
    x = 699.67

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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.