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Finding the Fourth Proportional to 600.45, 828.75 and 364.33

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Solution

The fourth proportional to 600.45, 828.75 and 364.33 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.45 : 828.75 = 364.33 : x
  2. Step 2: Convert to fraction form
    600.45/828.75 = 364.33/x
  3. Step 3: Cross multiply
    600.45x = 828.75 × 364.33
  4. Step 4: Simplify right side
    600.45x = 301,938.49
  5. Step 5: Solve for x
    x = 301,938.49/600.45
  6. Step 6: Final answer
    x = 502.85

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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.