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Finding the Fourth Proportional to 636.30, 954.43 and 378.07

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Solution

The fourth proportional to 636.30, 954.43 and 378.07 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.30 : 954.43 = 378.07 : x
  2. Step 2: Convert to fraction form
    636.30/954.43 = 378.07/x
  3. Step 3: Cross multiply
    636.30x = 954.43 × 378.07
  4. Step 4: Simplify right side
    636.30x = 360,841.35
  5. Step 5: Solve for x
    x = 360,841.35/636.30
  6. Step 6: Final answer
    x = 567.09

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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.