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Finding the Fourth Proportional to 332.96, 459.48 and 234.68

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Solution

The fourth proportional to 332.96, 459.48 and 234.68 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.96 : 459.48 = 234.68 : x
  2. Step 2: Convert to fraction form
    332.96/459.48 = 234.68/x
  3. Step 3: Cross multiply
    332.96x = 459.48 × 234.68
  4. Step 4: Simplify right side
    332.96x = 107,830.77
  5. Step 5: Solve for x
    x = 107,830.77/332.96
  6. Step 6: Final answer
    x = 323.86

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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.