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Finding the Fourth Proportional to 465.84, 642.81 and 269.35

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Solution

The fourth proportional to 465.84, 642.81 and 269.35 is: 371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 642.81 = 269.35 : x
  2. Step 2: Convert to fraction form
    465.84/642.81 = 269.35/x
  3. Step 3: Cross multiply
    465.84x = 642.81 × 269.35
  4. Step 4: Simplify right side
    465.84x = 173,140.28
  5. Step 5: Solve for x
    x = 173,140.28/465.84
  6. Step 6: Final answer
    x = 371.67

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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.