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Finding the Fourth Proportional to 397.70, 596.55 and 389.60

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Solution

The fourth proportional to 397.70, 596.55 and 389.60 is: 584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.70 : 596.55 = 389.60 : x
  2. Step 2: Convert to fraction form
    397.70/596.55 = 389.60/x
  3. Step 3: Cross multiply
    397.70x = 596.55 × 389.60
  4. Step 4: Simplify right side
    397.70x = 232,415.88
  5. Step 5: Solve for x
    x = 232,415.88/397.70
  6. Step 6: Final answer
    x = 584.40

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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.