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Finding the Fourth Proportional to 265.92, 396.36 and 258.60

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Solution

The fourth proportional to 265.92, 396.36 and 258.60 is: 385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 396.36 = 258.60 : x
  2. Step 2: Convert to fraction form
    265.92/396.36 = 258.60/x
  3. Step 3: Cross multiply
    265.92x = 396.36 × 258.60
  4. Step 4: Simplify right side
    265.92x = 102,498.70
  5. Step 5: Solve for x
    x = 102,498.70/265.92
  6. Step 6: Final answer
    x = 385.45

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Why These Related Problems?

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