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Finding the Fourth Proportional to 394.05, 542.24 and 322.51

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Solution

The fourth proportional to 394.05, 542.24 and 322.51 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.05 : 542.24 = 322.51 : x
  2. Step 2: Convert to fraction form
    394.05/542.24 = 322.51/x
  3. Step 3: Cross multiply
    394.05x = 542.24 × 322.51
  4. Step 4: Simplify right side
    394.05x = 174,877.82
  5. Step 5: Solve for x
    x = 174,877.82/394.05
  6. Step 6: Final answer
    x = 443.80

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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.