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Finding the Fourth Proportional to 333.18, 459.99 and 209.07

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Solution

The fourth proportional to 333.18, 459.99 and 209.07 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.18 : 459.99 = 209.07 : x
  2. Step 2: Convert to fraction form
    333.18/459.99 = 209.07/x
  3. Step 3: Cross multiply
    333.18x = 459.99 × 209.07
  4. Step 4: Simplify right side
    333.18x = 96,170.11
  5. Step 5: Solve for x
    x = 96,170.11/333.18
  6. Step 6: Final answer
    x = 288.64

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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.