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Finding the Fourth Proportional to 578.98, 868.94 and 305.24

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Solution

The fourth proportional to 578.98, 868.94 and 305.24 is: 458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.98 : 868.94 = 305.24 : x
  2. Step 2: Convert to fraction form
    578.98/868.94 = 305.24/x
  3. Step 3: Cross multiply
    578.98x = 868.94 × 305.24
  4. Step 4: Simplify right side
    578.98x = 265,235.25
  5. Step 5: Solve for x
    x = 265,235.25/578.98
  6. Step 6: Final answer
    x = 458.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.