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Finding the Fourth Proportional to 557.42, 769.28 and 321.41

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Solution

The fourth proportional to 557.42, 769.28 and 321.41 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.42 : 769.28 = 321.41 : x
  2. Step 2: Convert to fraction form
    557.42/769.28 = 321.41/x
  3. Step 3: Cross multiply
    557.42x = 769.28 × 321.41
  4. Step 4: Simplify right side
    557.42x = 247,254.28
  5. Step 5: Solve for x
    x = 247,254.28/557.42
  6. Step 6: Final answer
    x = 443.57

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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.