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Finding the Fourth Proportional to 573.45, 860.21 and 505.44

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Solution

The fourth proportional to 573.45, 860.21 and 505.44 is: 758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 860.21 = 505.44 : x
  2. Step 2: Convert to fraction form
    573.45/860.21 = 505.44/x
  3. Step 3: Cross multiply
    573.45x = 860.21 × 505.44
  4. Step 4: Simplify right side
    573.45x = 434,782.02
  5. Step 5: Solve for x
    x = 434,782.02/573.45
  6. Step 6: Final answer
    x = 758.19

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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.