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Finding the Fourth Proportional to 572.31, 858.35 and 206.98

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Solution

The fourth proportional to 572.31, 858.35 and 206.98 is: 310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.31 : 858.35 = 206.98 : x
  2. Step 2: Convert to fraction form
    572.31/858.35 = 206.98/x
  3. Step 3: Cross multiply
    572.31x = 858.35 × 206.98
  4. Step 4: Simplify right side
    572.31x = 177,659.65
  5. Step 5: Solve for x
    x = 177,659.65/572.31
  6. Step 6: Final answer
    x = 310.43

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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.