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Finding the Fourth Proportional to 600.57, 899.82 and 380.66

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Solution

The fourth proportional to 600.57, 899.82 and 380.66 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.57 : 899.82 = 380.66 : x
  2. Step 2: Convert to fraction form
    600.57/899.82 = 380.66/x
  3. Step 3: Cross multiply
    600.57x = 899.82 × 380.66
  4. Step 4: Simplify right side
    600.57x = 342,520.98
  5. Step 5: Solve for x
    x = 342,520.98/600.57
  6. Step 6: Final answer
    x = 570.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.