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Finding the Fourth Proportional to 636, 953.19 and 362.22

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Solution

The fourth proportional to 636, 953.19 and 362.22 is: 542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    636 : 953.19 = 362.22 : x
  2. Step 2: Convert to fraction form
    636/953.19 = 362.22/x
  3. Step 3: Cross multiply
    636x = 953.19 × 362.22
  4. Step 4: Simplify right side
    636x = 345,264.48
  5. Step 5: Solve for x
    x = 345,264.48/636
  6. Step 6: Final answer
    x = 542.87

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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.