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Finding the Fourth Proportional to 636.34, 954.35 and 465.02

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Solution

The fourth proportional to 636.34, 954.35 and 465.02 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.34 : 954.35 = 465.02 : x
  2. Step 2: Convert to fraction form
    636.34/954.35 = 465.02/x
  3. Step 3: Cross multiply
    636.34x = 954.35 × 465.02
  4. Step 4: Simplify right side
    636.34x = 443,791.84
  5. Step 5: Solve for x
    x = 443,791.84/636.34
  6. Step 6: Final answer
    x = 697.42

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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.