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Finding the Fourth Proportional to 397.64, 552.05 and 385.76

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Solution

The fourth proportional to 397.64, 552.05 and 385.76 is: 535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.64 : 552.05 = 385.76 : x
  2. Step 2: Convert to fraction form
    397.64/552.05 = 385.76/x
  3. Step 3: Cross multiply
    397.64x = 552.05 × 385.76
  4. Step 4: Simplify right side
    397.64x = 212,958.81
  5. Step 5: Solve for x
    x = 212,958.81/397.64
  6. Step 6: Final answer
    x = 535.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.