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Finding the Fourth Proportional to 360.37, 496.74 and 294.25

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Solution

The fourth proportional to 360.37, 496.74 and 294.25 is: 405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.37 : 496.74 = 294.25 : x
  2. Step 2: Convert to fraction form
    360.37/496.74 = 294.25/x
  3. Step 3: Cross multiply
    360.37x = 496.74 × 294.25
  4. Step 4: Simplify right side
    360.37x = 146,165.75
  5. Step 5: Solve for x
    x = 146,165.75/360.37
  6. Step 6: Final answer
    x = 405.60

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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.