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Finding the Fourth Proportional to 329.90, 494.98 and 302.62

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Solution

The fourth proportional to 329.90, 494.98 and 302.62 is: 454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.90 : 494.98 = 302.62 : x
  2. Step 2: Convert to fraction form
    329.90/494.98 = 302.62/x
  3. Step 3: Cross multiply
    329.90x = 494.98 × 302.62
  4. Step 4: Simplify right side
    329.90x = 149,790.85
  5. Step 5: Solve for x
    x = 149,790.85/329.90
  6. Step 6: Final answer
    x = 454.05

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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.