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Finding the Fourth Proportional to 635.78, 877.41 and 415.32

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Solution

The fourth proportional to 635.78, 877.41 and 415.32 is: 573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.78 : 877.41 = 415.32 : x
  2. Step 2: Convert to fraction form
    635.78/877.41 = 415.32/x
  3. Step 3: Cross multiply
    635.78x = 877.41 × 415.32
  4. Step 4: Simplify right side
    635.78x = 364,405.92
  5. Step 5: Solve for x
    x = 364,405.92/635.78
  6. Step 6: Final answer
    x = 573.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.