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Finding the Fourth Proportional to 333.90, 502.83 and 301.77

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Solution

The fourth proportional to 333.90, 502.83 and 301.77 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.90 : 502.83 = 301.77 : x
  2. Step 2: Convert to fraction form
    333.90/502.83 = 301.77/x
  3. Step 3: Cross multiply
    333.90x = 502.83 × 301.77
  4. Step 4: Simplify right side
    333.90x = 151,739.01
  5. Step 5: Solve for x
    x = 151,739.01/333.90
  6. Step 6: Final answer
    x = 454.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.