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Finding the Fourth Proportional to 417.24, 575.22 and 329.80

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Solution

The fourth proportional to 417.24, 575.22 and 329.80 is: 454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 575.22 = 329.80 : x
  2. Step 2: Convert to fraction form
    417.24/575.22 = 329.80/x
  3. Step 3: Cross multiply
    417.24x = 575.22 × 329.80
  4. Step 4: Simplify right side
    417.24x = 189,707.56
  5. Step 5: Solve for x
    x = 189,707.56/417.24
  6. Step 6: Final answer
    x = 454.67

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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.