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Finding the Fourth Proportional to 600.12, 828.36 and 537.84

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Solution

The fourth proportional to 600.12, 828.36 and 537.84 is: 742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 828.36 = 537.84 : x
  2. Step 2: Convert to fraction form
    600.12/828.36 = 537.84/x
  3. Step 3: Cross multiply
    600.12x = 828.36 × 537.84
  4. Step 4: Simplify right side
    600.12x = 445,525.14
  5. Step 5: Solve for x
    x = 445,525.14/600.12
  6. Step 6: Final answer
    x = 742.39

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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.