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Finding the Fourth Proportional to 419.50, 578.91 and 264.25

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Solution

The fourth proportional to 419.50, 578.91 and 264.25 is: 364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 578.91 = 264.25 : x
  2. Step 2: Convert to fraction form
    419.50/578.91 = 264.25/x
  3. Step 3: Cross multiply
    419.50x = 578.91 × 264.25
  4. Step 4: Simplify right side
    419.50x = 152,976.97
  5. Step 5: Solve for x
    x = 152,976.97/419.50
  6. Step 6: Final answer
    x = 364.67

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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.