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Finding the Fourth Proportional to 265.96, 401.47 and 263.08

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Solution

The fourth proportional to 265.96, 401.47 and 263.08 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 401.47 = 263.08 : x
  2. Step 2: Convert to fraction form
    265.96/401.47 = 263.08/x
  3. Step 3: Cross multiply
    265.96x = 401.47 × 263.08
  4. Step 4: Simplify right side
    265.96x = 105,618.73
  5. Step 5: Solve for x
    x = 105,618.73/265.96
  6. Step 6: Final answer
    x = 397.12

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Why These Related Problems?

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