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Finding the Fourth Proportional to 635.98, 877.14 and 414.76

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Solution

The fourth proportional to 635.98, 877.14 and 414.76 is: 572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.98 : 877.14 = 414.76 : x
  2. Step 2: Convert to fraction form
    635.98/877.14 = 414.76/x
  3. Step 3: Cross multiply
    635.98x = 877.14 × 414.76
  4. Step 4: Simplify right side
    635.98x = 363,802.59
  5. Step 5: Solve for x
    x = 363,802.59/635.98
  6. Step 6: Final answer
    x = 572.03

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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.