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Finding the Fourth Proportional to 635.64, 877.12 and 414.24

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Solution

The fourth proportional to 635.64, 877.12 and 414.24 is: 571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.64 : 877.12 = 414.24 : x
  2. Step 2: Convert to fraction form
    635.64/877.12 = 414.24/x
  3. Step 3: Cross multiply
    635.64x = 877.12 × 414.24
  4. Step 4: Simplify right side
    635.64x = 363,338.19
  5. Step 5: Solve for x
    x = 363,338.19/635.64
  6. Step 6: Final answer
    x = 571.61

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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.