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Finding the Fourth Proportional to 619.82, 856.52 and 472.16

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Solution

The fourth proportional to 619.82, 856.52 and 472.16 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.82 : 856.52 = 472.16 : x
  2. Step 2: Convert to fraction form
    619.82/856.52 = 472.16/x
  3. Step 3: Cross multiply
    619.82x = 856.52 × 472.16
  4. Step 4: Simplify right side
    619.82x = 404,414.48
  5. Step 5: Solve for x
    x = 404,414.48/619.82
  6. Step 6: Final answer
    x = 652.47

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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.