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Finding the Fourth Proportional to 635.99, 877.64 and 356.23

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Solution

The fourth proportional to 635.99, 877.64 and 356.23 is: 491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.99 : 877.64 = 356.23 : x
  2. Step 2: Convert to fraction form
    635.99/877.64 = 356.23/x
  3. Step 3: Cross multiply
    635.99x = 877.64 × 356.23
  4. Step 4: Simplify right side
    635.99x = 312,636.86
  5. Step 5: Solve for x
    x = 312,636.86/635.99
  6. Step 6: Final answer
    x = 491.58

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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.