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Finding the Fourth Proportional to 460.82, 635.64 and 362.54

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Solution

The fourth proportional to 460.82, 635.64 and 362.54 is: 500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 635.64 = 362.54 : x
  2. Step 2: Convert to fraction form
    460.82/635.64 = 362.54/x
  3. Step 3: Cross multiply
    460.82x = 635.64 × 362.54
  4. Step 4: Simplify right side
    460.82x = 230,444.93
  5. Step 5: Solve for x
    x = 230,444.93/460.82
  6. Step 6: Final answer
    x = 500.08

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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.