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Finding the Fourth Proportional to 269.40, 369.51 and 258.60

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Solution

The fourth proportional to 269.40, 369.51 and 258.60 is: 354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 369.51 = 258.60 : x
  2. Step 2: Convert to fraction form
    269.40/369.51 = 258.60/x
  3. Step 3: Cross multiply
    269.40x = 369.51 × 258.60
  4. Step 4: Simplify right side
    269.40x = 95,555.29
  5. Step 5: Solve for x
    x = 95,555.29/269.40
  6. Step 6: Final answer
    x = 354.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.