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Finding the Fourth Proportional to 636.08, 877.64 and 360.08

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Solution

The fourth proportional to 636.08, 877.64 and 360.08 is: 496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.08 : 877.64 = 360.08 : x
  2. Step 2: Convert to fraction form
    636.08/877.64 = 360.08/x
  3. Step 3: Cross multiply
    636.08x = 877.64 × 360.08
  4. Step 4: Simplify right side
    636.08x = 316,020.61
  5. Step 5: Solve for x
    x = 316,020.61/636.08
  6. Step 6: Final answer
    x = 496.83

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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.