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Finding the Fourth Proportional to 333.56, 459.18 and 289.88

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Solution

The fourth proportional to 333.56, 459.18 and 289.88 is: 399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.56 : 459.18 = 289.88 : x
  2. Step 2: Convert to fraction form
    333.56/459.18 = 289.88/x
  3. Step 3: Cross multiply
    333.56x = 459.18 × 289.88
  4. Step 4: Simplify right side
    333.56x = 133,104.80
  5. Step 5: Solve for x
    x = 133,104.80/333.56
  6. Step 6: Final answer
    x = 399.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.