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Finding the Fourth Proportional to 660.35, 989.98 and 249.25

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Solution

The fourth proportional to 660.35, 989.98 and 249.25 is: 373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.35 : 989.98 = 249.25 : x
  2. Step 2: Convert to fraction form
    660.35/989.98 = 249.25/x
  3. Step 3: Cross multiply
    660.35x = 989.98 × 249.25
  4. Step 4: Simplify right side
    660.35x = 246,749.42
  5. Step 5: Solve for x
    x = 246,749.42/660.35
  6. Step 6: Final answer
    x = 373.67

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Why These Related Problems?

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