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Finding the Fourth Proportional to 570.48, 855.12 and 327.12

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Solution

The fourth proportional to 570.48, 855.12 and 327.12 is: 490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 855.12 = 327.12 : x
  2. Step 2: Convert to fraction form
    570.48/855.12 = 327.12/x
  3. Step 3: Cross multiply
    570.48x = 855.12 × 327.12
  4. Step 4: Simplify right side
    570.48x = 279,726.85
  5. Step 5: Solve for x
    x = 279,726.85/570.48
  6. Step 6: Final answer
    x = 490.34

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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.