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Finding the Fourth Proportional to 423.24, 585.30 and 379.50

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Solution

The fourth proportional to 423.24, 585.30 and 379.50 is: 524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 585.30 = 379.50 : x
  2. Step 2: Convert to fraction form
    423.24/585.30 = 379.50/x
  3. Step 3: Cross multiply
    423.24x = 585.30 × 379.50
  4. Step 4: Simplify right side
    423.24x = 222,121.35
  5. Step 5: Solve for x
    x = 222,121.35/423.24
  6. Step 6: Final answer
    x = 524.81

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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.