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Finding the Fourth Proportional to 600.50, 828.78 and 367.76

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Solution

The fourth proportional to 600.50, 828.78 and 367.76 is: 507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.50 : 828.78 = 367.76 : x
  2. Step 2: Convert to fraction form
    600.50/828.78 = 367.76/x
  3. Step 3: Cross multiply
    600.50x = 828.78 × 367.76
  4. Step 4: Simplify right side
    600.50x = 304,792.13
  5. Step 5: Solve for x
    x = 304,792.13/600.50
  6. Step 6: Final answer
    x = 507.56

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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.