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Finding the Fourth Proportional to 460.47, 635.39 and 263.94

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Solution

The fourth proportional to 460.47, 635.39 and 263.94 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 635.39 = 263.94 : x
  2. Step 2: Convert to fraction form
    460.47/635.39 = 263.94/x
  3. Step 3: Cross multiply
    460.47x = 635.39 × 263.94
  4. Step 4: Simplify right side
    460.47x = 167,703.52
  5. Step 5: Solve for x
    x = 167,703.52/460.47
  6. Step 6: Final answer
    x = 364.20

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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.