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Finding the Fourth Proportional to 382.24, 573.16 and 245.35

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Solution

The fourth proportional to 382.24, 573.16 and 245.35 is: 367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 573.16 = 245.35 : x
  2. Step 2: Convert to fraction form
    382.24/573.16 = 245.35/x
  3. Step 3: Cross multiply
    382.24x = 573.16 × 245.35
  4. Step 4: Simplify right side
    382.24x = 140,624.81
  5. Step 5: Solve for x
    x = 140,624.81/382.24
  6. Step 6: Final answer
    x = 367.90

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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.