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Finding the Fourth Proportional to 578.44, 798.16 and 342.40

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Solution

The fourth proportional to 578.44, 798.16 and 342.40 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.44 : 798.16 = 342.40 : x
  2. Step 2: Convert to fraction form
    578.44/798.16 = 342.40/x
  3. Step 3: Cross multiply
    578.44x = 798.16 × 342.40
  4. Step 4: Simplify right side
    578.44x = 273,289.98
  5. Step 5: Solve for x
    x = 273,289.98/578.44
  6. Step 6: Final answer
    x = 472.46

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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.