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Finding the Fourth Proportional to 397.60, 548.84 and 364.80

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Solution

The fourth proportional to 397.60, 548.84 and 364.80 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.60 : 548.84 = 364.80 : x
  2. Step 2: Convert to fraction form
    397.60/548.84 = 364.80/x
  3. Step 3: Cross multiply
    397.60x = 548.84 × 364.80
  4. Step 4: Simplify right side
    397.60x = 200,216.83
  5. Step 5: Solve for x
    x = 200,216.83/397.60
  6. Step 6: Final answer
    x = 503.56

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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.