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Finding the Fourth Proportional to 421.65, 582.03 and 274.29

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Solution

The fourth proportional to 421.65, 582.03 and 274.29 is: 378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.65 : 582.03 = 274.29 : x
  2. Step 2: Convert to fraction form
    421.65/582.03 = 274.29/x
  3. Step 3: Cross multiply
    421.65x = 582.03 × 274.29
  4. Step 4: Simplify right side
    421.65x = 159,645.01
  5. Step 5: Solve for x
    x = 159,645.01/421.65
  6. Step 6: Final answer
    x = 378.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.