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Finding the Fourth Proportional to 573.70, 860.94 and 378.28

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Solution

The fourth proportional to 573.70, 860.94 and 378.28 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.70 : 860.94 = 378.28 : x
  2. Step 2: Convert to fraction form
    573.70/860.94 = 378.28/x
  3. Step 3: Cross multiply
    573.70x = 860.94 × 378.28
  4. Step 4: Simplify right side
    573.70x = 325,676.38
  5. Step 5: Solve for x
    x = 325,676.38/573.70
  6. Step 6: Final answer
    x = 567.68

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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.