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Finding the Fourth Proportional to 573.51, 860.37 and 208.81

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Solution

The fourth proportional to 573.51, 860.37 and 208.81 is: 313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.51 : 860.37 = 208.81 : x
  2. Step 2: Convert to fraction form
    573.51/860.37 = 208.81/x
  3. Step 3: Cross multiply
    573.51x = 860.37 × 208.81
  4. Step 4: Simplify right side
    573.51x = 179,648.51
  5. Step 5: Solve for x
    x = 179,648.51/573.51
  6. Step 6: Final answer
    x = 313.24

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