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Finding the Fourth Proportional to 635.90, 877.44 and 356.14

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Solution

The fourth proportional to 635.90, 877.44 and 356.14 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.90 : 877.44 = 356.14 : x
  2. Step 2: Convert to fraction form
    635.90/877.44 = 356.14/x
  3. Step 3: Cross multiply
    635.90x = 877.44 × 356.14
  4. Step 4: Simplify right side
    635.90x = 312,492.89
  5. Step 5: Solve for x
    x = 312,492.89/635.90
  6. Step 6: Final answer
    x = 491.42

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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.