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Finding the Fourth Proportional to 460.73, 635.79 and 264.26

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Solution

The fourth proportional to 460.73, 635.79 and 264.26 is: 364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.73 : 635.79 = 264.26 : x
  2. Step 2: Convert to fraction form
    460.73/635.79 = 264.26/x
  3. Step 3: Cross multiply
    460.73x = 635.79 × 264.26
  4. Step 4: Simplify right side
    460.73x = 168,013.87
  5. Step 5: Solve for x
    x = 168,013.87/460.73
  6. Step 6: Final answer
    x = 364.67

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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.