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Finding the Fourth Proportional to 635.47, 877.43 and 414.55

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Solution

The fourth proportional to 635.47, 877.43 and 414.55 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.47 : 877.43 = 414.55 : x
  2. Step 2: Convert to fraction form
    635.47/877.43 = 414.55/x
  3. Step 3: Cross multiply
    635.47x = 877.43 × 414.55
  4. Step 4: Simplify right side
    635.47x = 363,738.61
  5. Step 5: Solve for x
    x = 363,738.61/635.47
  6. Step 6: Final answer
    x = 572.39

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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.