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Finding the Fourth Proportional to 390.10, 538.44 and 232.76

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Solution

The fourth proportional to 390.10, 538.44 and 232.76 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.10 : 538.44 = 232.76 : x
  2. Step 2: Convert to fraction form
    390.10/538.44 = 232.76/x
  3. Step 3: Cross multiply
    390.10x = 538.44 × 232.76
  4. Step 4: Simplify right side
    390.10x = 125,327.29
  5. Step 5: Solve for x
    x = 125,327.29/390.10
  6. Step 6: Final answer
    x = 321.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.