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Finding the Fourth Proportional to 636.59, 953.97 and 362.10

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Solution

The fourth proportional to 636.59, 953.97 and 362.10 is: 542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.59 : 953.97 = 362.10 : x
  2. Step 2: Convert to fraction form
    636.59/953.97 = 362.10/x
  3. Step 3: Cross multiply
    636.59x = 953.97 × 362.10
  4. Step 4: Simplify right side
    636.59x = 345,425.96
  5. Step 5: Solve for x
    x = 345,425.96/636.59
  6. Step 6: Final answer
    x = 542.62

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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.