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Finding the Fourth Proportional to 600.96, 829.43 and 477.56

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Solution

The fourth proportional to 600.96, 829.43 and 477.56 is: 659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 829.43 = 477.56 : x
  2. Step 2: Convert to fraction form
    600.96/829.43 = 477.56/x
  3. Step 3: Cross multiply
    600.96x = 829.43 × 477.56
  4. Step 4: Simplify right side
    600.96x = 396,096.06
  5. Step 5: Solve for x
    x = 396,096.06/600.96
  6. Step 6: Final answer
    x = 659.11

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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.