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Finding the Fourth Proportional to 600.47, 828.66 and 338.50

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Solution

The fourth proportional to 600.47, 828.66 and 338.50 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.47 : 828.66 = 338.50 : x
  2. Step 2: Convert to fraction form
    600.47/828.66 = 338.50/x
  3. Step 3: Cross multiply
    600.47x = 828.66 × 338.50
  4. Step 4: Simplify right side
    600.47x = 280,501.41
  5. Step 5: Solve for x
    x = 280,501.41/600.47
  6. Step 6: Final answer
    x = 467.14

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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.