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Finding the Fourth Proportional to 635.65, 877.34 and 414.22

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Solution

The fourth proportional to 635.65, 877.34 and 414.22 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.65 : 877.34 = 414.22 : x
  2. Step 2: Convert to fraction form
    635.65/877.34 = 414.22/x
  3. Step 3: Cross multiply
    635.65x = 877.34 × 414.22
  4. Step 4: Simplify right side
    635.65x = 363,405.32
  5. Step 5: Solve for x
    x = 363,405.32/635.65
  6. Step 6: Final answer
    x = 571.71

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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.