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Finding the Fourth Proportional to 460.78, 635.78 and 264.22

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Solution

The fourth proportional to 460.78, 635.78 and 264.22 is: 364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.78 : 635.78 = 264.22 : x
  2. Step 2: Convert to fraction form
    460.78/635.78 = 264.22/x
  3. Step 3: Cross multiply
    460.78x = 635.78 × 264.22
  4. Step 4: Simplify right side
    460.78x = 167,984.86
  5. Step 5: Solve for x
    x = 167,984.86/460.78
  6. Step 6: Final answer
    x = 364.57

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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.