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Finding the Fourth Proportional to 382.30, 572.90 and 245.06

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Solution

The fourth proportional to 382.30, 572.90 and 245.06 is: 367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.30 : 572.90 = 245.06 : x
  2. Step 2: Convert to fraction form
    382.30/572.90 = 245.06/x
  3. Step 3: Cross multiply
    382.30x = 572.90 × 245.06
  4. Step 4: Simplify right side
    382.30x = 140,394.87
  5. Step 5: Solve for x
    x = 140,394.87/382.30
  6. Step 6: Final answer
    x = 367.24

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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.