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Finding the Fourth Proportional to 389.98, 538.41 and 296.56

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Solution

The fourth proportional to 389.98, 538.41 and 296.56 is: 409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.98 : 538.41 = 296.56 : x
  2. Step 2: Convert to fraction form
    389.98/538.41 = 296.56/x
  3. Step 3: Cross multiply
    389.98x = 538.41 × 296.56
  4. Step 4: Simplify right side
    389.98x = 159,670.87
  5. Step 5: Solve for x
    x = 159,670.87/389.98
  6. Step 6: Final answer
    x = 409.43

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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.