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Finding the Fourth Proportional to 635.96, 877.63 and 414.78

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Solution

The fourth proportional to 635.96, 877.63 and 414.78 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.96 : 877.63 = 414.78 : x
  2. Step 2: Convert to fraction form
    635.96/877.63 = 414.78/x
  3. Step 3: Cross multiply
    635.96x = 877.63 × 414.78
  4. Step 4: Simplify right side
    635.96x = 364,024.06
  5. Step 5: Solve for x
    x = 364,024.06/635.96
  6. Step 6: Final answer
    x = 572.40

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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.