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Finding the Fourth Proportional to 333.42, 459.86 and 233.66

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Solution

The fourth proportional to 333.42, 459.86 and 233.66 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.42 : 459.86 = 233.66 : x
  2. Step 2: Convert to fraction form
    333.42/459.86 = 233.66/x
  3. Step 3: Cross multiply
    333.42x = 459.86 × 233.66
  4. Step 4: Simplify right side
    333.42x = 107,450.89
  5. Step 5: Solve for x
    x = 107,450.89/333.42
  6. Step 6: Final answer
    x = 322.27

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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.