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Finding the Fourth Proportional to 420.44, 579.48 and 396.14

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Solution

The fourth proportional to 420.44, 579.48 and 396.14 is: 545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 579.48 = 396.14 : x
  2. Step 2: Convert to fraction form
    420.44/579.48 = 396.14/x
  3. Step 3: Cross multiply
    420.44x = 579.48 × 396.14
  4. Step 4: Simplify right side
    420.44x = 229,555.20
  5. Step 5: Solve for x
    x = 229,555.20/420.44
  6. Step 6: Final answer
    x = 545.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.