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Finding the Fourth Proportional to 635.99, 953.18 and 362.23

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Solution

The fourth proportional to 635.99, 953.18 and 362.23 is: 542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.99 : 953.18 = 362.23 : x
  2. Step 2: Convert to fraction form
    635.99/953.18 = 362.23/x
  3. Step 3: Cross multiply
    635.99x = 953.18 × 362.23
  4. Step 4: Simplify right side
    635.99x = 345,271.58
  5. Step 5: Solve for x
    x = 345,271.58/635.99
  6. Step 6: Final answer
    x = 542.89

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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.