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Finding the Fourth Proportional to 570.28, 786.96 and 337.48

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Solution

The fourth proportional to 570.28, 786.96 and 337.48 is: 465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.28 : 786.96 = 337.48 : x
  2. Step 2: Convert to fraction form
    570.28/786.96 = 337.48/x
  3. Step 3: Cross multiply
    570.28x = 786.96 × 337.48
  4. Step 4: Simplify right side
    570.28x = 265,583.26
  5. Step 5: Solve for x
    x = 265,583.26/570.28
  6. Step 6: Final answer
    x = 465.71

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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.