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Finding the Fourth Proportional to 333.24, 459.64 and 228.16

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Solution

The fourth proportional to 333.24, 459.64 and 228.16 is: 314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.24 : 459.64 = 228.16 : x
  2. Step 2: Convert to fraction form
    333.24/459.64 = 228.16/x
  3. Step 3: Cross multiply
    333.24x = 459.64 × 228.16
  4. Step 4: Simplify right side
    333.24x = 104,872.32
  5. Step 5: Solve for x
    x = 104,872.32/333.24
  6. Step 6: Final answer
    x = 314.71

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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.