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Finding the Fourth Proportional to 389.84, 538.47 and 343.37

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Solution

The fourth proportional to 389.84, 538.47 and 343.37 is: 474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 538.47 = 343.37 : x
  2. Step 2: Convert to fraction form
    389.84/538.47 = 343.37/x
  3. Step 3: Cross multiply
    389.84x = 538.47 × 343.37
  4. Step 4: Simplify right side
    389.84x = 184,895.79
  5. Step 5: Solve for x
    x = 184,895.79/389.84
  6. Step 6: Final answer
    x = 474.29

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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.