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Finding the Fourth Proportional to 370.75, 553.50 and 329.75

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Solution

The fourth proportional to 370.75, 553.50 and 329.75 is: 492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.75 : 553.50 = 329.75 : x
  2. Step 2: Convert to fraction form
    370.75/553.50 = 329.75/x
  3. Step 3: Cross multiply
    370.75x = 553.50 × 329.75
  4. Step 4: Simplify right side
    370.75x = 182,514.38
  5. Step 5: Solve for x
    x = 182,514.38/370.75
  6. Step 6: Final answer
    x = 492.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.