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Finding the Fourth Proportional to 635.48, 877.74 and 460.52

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Solution

The fourth proportional to 635.48, 877.74 and 460.52 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.48 : 877.74 = 460.52 : x
  2. Step 2: Convert to fraction form
    635.48/877.74 = 460.52/x
  3. Step 3: Cross multiply
    635.48x = 877.74 × 460.52
  4. Step 4: Simplify right side
    635.48x = 404,216.82
  5. Step 5: Solve for x
    x = 404,216.82/635.48
  6. Step 6: Final answer
    x = 636.08

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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.