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Finding the Fourth Proportional to 570.72, 786.72 and 349.26

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Solution

The fourth proportional to 570.72, 786.72 and 349.26 is: 481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 786.72 = 349.26 : x
  2. Step 2: Convert to fraction form
    570.72/786.72 = 349.26/x
  3. Step 3: Cross multiply
    570.72x = 786.72 × 349.26
  4. Step 4: Simplify right side
    570.72x = 274,769.83
  5. Step 5: Solve for x
    x = 274,769.83/570.72
  6. Step 6: Final answer
    x = 481.44

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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.