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Finding the Fourth Proportional to 636.06, 877.84 and 356.31

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Solution

The fourth proportional to 636.06, 877.84 and 356.31 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.06 : 877.84 = 356.31 : x
  2. Step 2: Convert to fraction form
    636.06/877.84 = 356.31/x
  3. Step 3: Cross multiply
    636.06x = 877.84 × 356.31
  4. Step 4: Simplify right side
    636.06x = 312,782.28
  5. Step 5: Solve for x
    x = 312,782.28/636.06
  6. Step 6: Final answer
    x = 491.75

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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.