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Finding the Fourth Proportional to 390.81, 538.67 and 343.43

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Solution

The fourth proportional to 390.81, 538.67 and 343.43 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.81 : 538.67 = 343.43 : x
  2. Step 2: Convert to fraction form
    390.81/538.67 = 343.43/x
  3. Step 3: Cross multiply
    390.81x = 538.67 × 343.43
  4. Step 4: Simplify right side
    390.81x = 184,991.03
  5. Step 5: Solve for x
    x = 184,991.03/390.81
  6. Step 6: Final answer
    x = 473.35

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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.