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Finding the Fourth Proportional to 657.69, 986.69 and 219.08

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Solution

The fourth proportional to 657.69, 986.69 and 219.08 is: 328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.69 : 986.69 = 219.08 : x
  2. Step 2: Convert to fraction form
    657.69/986.69 = 219.08/x
  3. Step 3: Cross multiply
    657.69x = 986.69 × 219.08
  4. Step 4: Simplify right side
    657.69x = 216,164.05
  5. Step 5: Solve for x
    x = 216,164.05/657.69
  6. Step 6: Final answer
    x = 328.67

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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.