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Finding the Fourth Proportional to 460.77, 635.67 and 264.17

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Solution

The fourth proportional to 460.77, 635.67 and 264.17 is: 364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.77 : 635.67 = 264.17 : x
  2. Step 2: Convert to fraction form
    460.77/635.67 = 264.17/x
  3. Step 3: Cross multiply
    460.77x = 635.67 × 264.17
  4. Step 4: Simplify right side
    460.77x = 167,924.94
  5. Step 5: Solve for x
    x = 167,924.94/460.77
  6. Step 6: Final answer
    x = 364.44

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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.