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Finding the Fourth Proportional to 573.68, 860.71 and 281.18

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Solution

The fourth proportional to 573.68, 860.71 and 281.18 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.68 : 860.71 = 281.18 : x
  2. Step 2: Convert to fraction form
    573.68/860.71 = 281.18/x
  3. Step 3: Cross multiply
    573.68x = 860.71 × 281.18
  4. Step 4: Simplify right side
    573.68x = 242,014.44
  5. Step 5: Solve for x
    x = 242,014.44/573.68
  6. Step 6: Final answer
    x = 421.86

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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.