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Finding the Fourth Proportional to 480.85, 663.34 and 414.34

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Solution

The fourth proportional to 480.85, 663.34 and 414.34 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.85 : 663.34 = 414.34 : x
  2. Step 2: Convert to fraction form
    480.85/663.34 = 414.34/x
  3. Step 3: Cross multiply
    480.85x = 663.34 × 414.34
  4. Step 4: Simplify right side
    480.85x = 274,846.22
  5. Step 5: Solve for x
    x = 274,846.22/480.85
  6. Step 6: Final answer
    x = 571.59

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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.