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Finding the Fourth Proportional to 600.20, 828.54 and 403.82

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Solution

The fourth proportional to 600.20, 828.54 and 403.82 is: 557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.20 : 828.54 = 403.82 : x
  2. Step 2: Convert to fraction form
    600.20/828.54 = 403.82/x
  3. Step 3: Cross multiply
    600.20x = 828.54 × 403.82
  4. Step 4: Simplify right side
    600.20x = 334,576.88
  5. Step 5: Solve for x
    x = 334,576.88/600.20
  6. Step 6: Final answer
    x = 557.45

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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.