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Finding the Fourth Proportional to 636.42, 953.73 and 461.69

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Solution

The fourth proportional to 636.42, 953.73 and 461.69 is: 691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.42 : 953.73 = 461.69 : x
  2. Step 2: Convert to fraction form
    636.42/953.73 = 461.69/x
  3. Step 3: Cross multiply
    636.42x = 953.73 × 461.69
  4. Step 4: Simplify right side
    636.42x = 440,322.84
  5. Step 5: Solve for x
    x = 440,322.84/636.42
  6. Step 6: Final answer
    x = 691.87

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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.