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Finding the Fourth Proportional to 397.20, 547.20 and 382.20

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Solution

The fourth proportional to 397.20, 547.20 and 382.20 is: 526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 547.20 = 382.20 : x
  2. Step 2: Convert to fraction form
    397.20/547.20 = 382.20/x
  3. Step 3: Cross multiply
    397.20x = 547.20 × 382.20
  4. Step 4: Simplify right side
    397.20x = 209,139.84
  5. Step 5: Solve for x
    x = 209,139.84/397.20
  6. Step 6: Final answer
    x = 526.54

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Why These Related Problems?

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