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Finding the Fourth Proportional to 570.22, 786.81 and 337.30

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Solution

The fourth proportional to 570.22, 786.81 and 337.30 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.22 : 786.81 = 337.30 : x
  2. Step 2: Convert to fraction form
    570.22/786.81 = 337.30/x
  3. Step 3: Cross multiply
    570.22x = 786.81 × 337.30
  4. Step 4: Simplify right side
    570.22x = 265,391.01
  5. Step 5: Solve for x
    x = 265,391.01/570.22
  6. Step 6: Final answer
    x = 465.42

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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.