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Finding the Fourth Proportional to 636.65, 954.82 and 465.33

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Solution

The fourth proportional to 636.65, 954.82 and 465.33 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.65 : 954.82 = 465.33 : x
  2. Step 2: Convert to fraction form
    636.65/954.82 = 465.33/x
  3. Step 3: Cross multiply
    636.65x = 954.82 × 465.33
  4. Step 4: Simplify right side
    636.65x = 444,306.39
  5. Step 5: Solve for x
    x = 444,306.39/636.65
  6. Step 6: Final answer
    x = 697.88

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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.