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Finding the Fourth Proportional to 420.06, 579.73 and 245.46

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Solution

The fourth proportional to 420.06, 579.73 and 245.46 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.06 : 579.73 = 245.46 : x
  2. Step 2: Convert to fraction form
    420.06/579.73 = 245.46/x
  3. Step 3: Cross multiply
    420.06x = 579.73 × 245.46
  4. Step 4: Simplify right side
    420.06x = 142,300.53
  5. Step 5: Solve for x
    x = 142,300.53/420.06
  6. Step 6: Final answer
    x = 338.76

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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.