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Finding the Fourth Proportional to 578.66, 798.90 and 376.96

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Solution

The fourth proportional to 578.66, 798.90 and 376.96 is: 520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.66 : 798.90 = 376.96 : x
  2. Step 2: Convert to fraction form
    578.66/798.90 = 376.96/x
  3. Step 3: Cross multiply
    578.66x = 798.90 × 376.96
  4. Step 4: Simplify right side
    578.66x = 301,153.34
  5. Step 5: Solve for x
    x = 301,153.34/578.66
  6. Step 6: Final answer
    x = 520.43

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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.