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Finding the Fourth Proportional to 636.02, 954.13 and 311.41

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Solution

The fourth proportional to 636.02, 954.13 and 311.41 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.02 : 954.13 = 311.41 : x
  2. Step 2: Convert to fraction form
    636.02/954.13 = 311.41/x
  3. Step 3: Cross multiply
    636.02x = 954.13 × 311.41
  4. Step 4: Simplify right side
    636.02x = 297,125.62
  5. Step 5: Solve for x
    x = 297,125.62/636.02
  6. Step 6: Final answer
    x = 467.16

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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.