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Finding the Fourth Proportional to 389.37, 537.21 and 258.24

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Solution

The fourth proportional to 389.37, 537.21 and 258.24 is: 356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.37 : 537.21 = 258.24 : x
  2. Step 2: Convert to fraction form
    389.37/537.21 = 258.24/x
  3. Step 3: Cross multiply
    389.37x = 537.21 × 258.24
  4. Step 4: Simplify right side
    389.37x = 138,729.11
  5. Step 5: Solve for x
    x = 138,729.11/389.37
  6. Step 6: Final answer
    x = 356.29

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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.