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Finding the Fourth Proportional to 573.94, 860.06 and 471.94

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Solution

The fourth proportional to 573.94, 860.06 and 471.94 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.94 : 860.06 = 471.94 : x
  2. Step 2: Convert to fraction form
    573.94/860.06 = 471.94/x
  3. Step 3: Cross multiply
    573.94x = 860.06 × 471.94
  4. Step 4: Simplify right side
    573.94x = 405,896.72
  5. Step 5: Solve for x
    x = 405,896.72/573.94
  6. Step 6: Final answer
    x = 707.21

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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.