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Finding the Fourth Proportional to 635.83, 877.10 and 414.40

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Solution

The fourth proportional to 635.83, 877.10 and 414.40 is: 571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.83 : 877.10 = 414.40 : x
  2. Step 2: Convert to fraction form
    635.83/877.10 = 414.40/x
  3. Step 3: Cross multiply
    635.83x = 877.10 × 414.40
  4. Step 4: Simplify right side
    635.83x = 363,469.08
  5. Step 5: Solve for x
    x = 363,469.08/635.83
  6. Step 6: Final answer
    x = 571.65

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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.