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Finding the Fourth Proportional to 398.34, 548.10 and 365.94

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Solution

The fourth proportional to 398.34, 548.10 and 365.94 is: 503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.34 : 548.10 = 365.94 : x
  2. Step 2: Convert to fraction form
    398.34/548.10 = 365.94/x
  3. Step 3: Cross multiply
    398.34x = 548.10 × 365.94
  4. Step 4: Simplify right side
    398.34x = 200,571.71
  5. Step 5: Solve for x
    x = 200,571.71/398.34
  6. Step 6: Final answer
    x = 503.52

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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.