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Finding the Fourth Proportional to 293, 441.14 and 258.96

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Solution

The fourth proportional to 293, 441.14 and 258.96 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293 : 441.14 = 258.96 : x
  2. Step 2: Convert to fraction form
    293/441.14 = 258.96/x
  3. Step 3: Cross multiply
    293x = 441.14 × 258.96
  4. Step 4: Simplify right side
    293x = 114,237.61
  5. Step 5: Solve for x
    x = 114,237.61/293
  6. Step 6: Final answer
    x = 389.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.