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Finding the Fourth Proportional to 620.24, 856.32 and 396.20

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Solution

The fourth proportional to 620.24, 856.32 and 396.20 is: 547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.24 : 856.32 = 396.20 : x
  2. Step 2: Convert to fraction form
    620.24/856.32 = 396.20/x
  3. Step 3: Cross multiply
    620.24x = 856.32 × 396.20
  4. Step 4: Simplify right side
    620.24x = 339,273.98
  5. Step 5: Solve for x
    x = 339,273.98/620.24
  6. Step 6: Final answer
    x = 547.00

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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.