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Finding the Fourth Proportional to 289.85, 399.15 and 258.44

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Solution

The fourth proportional to 289.85, 399.15 and 258.44 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 399.15 = 258.44 : x
  2. Step 2: Convert to fraction form
    289.85/399.15 = 258.44/x
  3. Step 3: Cross multiply
    289.85x = 399.15 × 258.44
  4. Step 4: Simplify right side
    289.85x = 103,154.33
  5. Step 5: Solve for x
    x = 103,154.33/289.85
  6. Step 6: Final answer
    x = 355.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.