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Finding the Fourth Proportional to 420.25, 579.99 and 273.28

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Solution

The fourth proportional to 420.25, 579.99 and 273.28 is: 377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 579.99 = 273.28 : x
  2. Step 2: Convert to fraction form
    420.25/579.99 = 273.28/x
  3. Step 3: Cross multiply
    420.25x = 579.99 × 273.28
  4. Step 4: Simplify right side
    420.25x = 158,499.67
  5. Step 5: Solve for x
    x = 158,499.67/420.25
  6. Step 6: Final answer
    x = 377.16

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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.