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Finding the Fourth Proportional to 440.84, 660.36 and 209.40

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Solution

The fourth proportional to 440.84, 660.36 and 209.40 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.84 : 660.36 = 209.40 : x
  2. Step 2: Convert to fraction form
    440.84/660.36 = 209.40/x
  3. Step 3: Cross multiply
    440.84x = 660.36 × 209.40
  4. Step 4: Simplify right side
    440.84x = 138,279.38
  5. Step 5: Solve for x
    x = 138,279.38/440.84
  6. Step 6: Final answer
    x = 313.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.