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Finding the Fourth Proportional to 572.07, 789.46 and 310.09

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Solution

The fourth proportional to 572.07, 789.46 and 310.09 is: 427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.07 : 789.46 = 310.09 : x
  2. Step 2: Convert to fraction form
    572.07/789.46 = 310.09/x
  3. Step 3: Cross multiply
    572.07x = 789.46 × 310.09
  4. Step 4: Simplify right side
    572.07x = 244,804.13
  5. Step 5: Solve for x
    x = 244,804.13/572.07
  6. Step 6: Final answer
    x = 427.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.