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Finding the Fourth Proportional to 294.60, 441.09 and 258.15

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Solution

The fourth proportional to 294.60, 441.09 and 258.15 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 441.09 = 258.15 : x
  2. Step 2: Convert to fraction form
    294.60/441.09 = 258.15/x
  3. Step 3: Cross multiply
    294.60x = 441.09 × 258.15
  4. Step 4: Simplify right side
    294.60x = 113,867.38
  5. Step 5: Solve for x
    x = 113,867.38/294.60
  6. Step 6: Final answer
    x = 386.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.