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Finding the Fourth Proportional to 636.84, 952.74 and 454.68

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Solution

The fourth proportional to 636.84, 952.74 and 454.68 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.84 : 952.74 = 454.68 : x
  2. Step 2: Convert to fraction form
    636.84/952.74 = 454.68/x
  3. Step 3: Cross multiply
    636.84x = 952.74 × 454.68
  4. Step 4: Simplify right side
    636.84x = 433,191.82
  5. Step 5: Solve for x
    x = 433,191.82/636.84
  6. Step 6: Final answer
    x = 680.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.