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Finding the Fourth Proportional to 397.82, 548.35 and 319.01

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Solution

The fourth proportional to 397.82, 548.35 and 319.01 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 548.35 = 319.01 : x
  2. Step 2: Convert to fraction form
    397.82/548.35 = 319.01/x
  3. Step 3: Cross multiply
    397.82x = 548.35 × 319.01
  4. Step 4: Simplify right side
    397.82x = 174,925.59
  5. Step 5: Solve for x
    x = 174,925.59/397.82
  6. Step 6: Final answer
    x = 439.71

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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.