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Finding the Fourth Proportional to 297.75, 444.32 and 258.87

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Solution

The fourth proportional to 297.75, 444.32 and 258.87 is: 386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 444.32 = 258.87 : x
  2. Step 2: Convert to fraction form
    297.75/444.32 = 258.87/x
  3. Step 3: Cross multiply
    297.75x = 444.32 × 258.87
  4. Step 4: Simplify right side
    297.75x = 115,019.82
  5. Step 5: Solve for x
    x = 115,019.82/297.75
  6. Step 6: Final answer
    x = 386.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.