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Finding the Fourth Proportional to 600.86, 829.09 and 380.11

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Solution

The fourth proportional to 600.86, 829.09 and 380.11 is: 524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.86 : 829.09 = 380.11 : x
  2. Step 2: Convert to fraction form
    600.86/829.09 = 380.11/x
  3. Step 3: Cross multiply
    600.86x = 829.09 × 380.11
  4. Step 4: Simplify right side
    600.86x = 315,145.40
  5. Step 5: Solve for x
    x = 315,145.40/600.86
  6. Step 6: Final answer
    x = 524.49

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1.5x scale

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.