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Finding the Fourth Proportional to 460.08, 634.64 and 263.52

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Solution

The fourth proportional to 460.08, 634.64 and 263.52 is: 363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 634.64 = 263.52 : x
  2. Step 2: Convert to fraction form
    460.08/634.64 = 263.52/x
  3. Step 3: Cross multiply
    460.08x = 634.64 × 263.52
  4. Step 4: Simplify right side
    460.08x = 167,240.33
  5. Step 5: Solve for x
    x = 167,240.33/460.08
  6. Step 6: Final answer
    x = 363.50

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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.