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Finding the Fourth Proportional to 570.52, 855.47 and 327.23

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Solution

The fourth proportional to 570.52, 855.47 and 327.23 is: 490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.52 : 855.47 = 327.23 : x
  2. Step 2: Convert to fraction form
    570.52/855.47 = 327.23/x
  3. Step 3: Cross multiply
    570.52x = 855.47 × 327.23
  4. Step 4: Simplify right side
    570.52x = 279,933.81
  5. Step 5: Solve for x
    x = 279,933.81/570.52
  6. Step 6: Final answer
    x = 490.66

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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.