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Finding the Fourth Proportional to 496.23, 684.55 and 330.23

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Solution

The fourth proportional to 496.23, 684.55 and 330.23 is: 455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.23 : 684.55 = 330.23 : x
  2. Step 2: Convert to fraction form
    496.23/684.55 = 330.23/x
  3. Step 3: Cross multiply
    496.23x = 684.55 × 330.23
  4. Step 4: Simplify right side
    496.23x = 226,058.95
  5. Step 5: Solve for x
    x = 226,058.95/496.23
  6. Step 6: Final answer
    x = 455.55

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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.