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Finding the Fourth Proportional to 635.66, 953.22 and 219.24

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Solution

The fourth proportional to 635.66, 953.22 and 219.24 is: 328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.66 : 953.22 = 219.24 : x
  2. Step 2: Convert to fraction form
    635.66/953.22 = 219.24/x
  3. Step 3: Cross multiply
    635.66x = 953.22 × 219.24
  4. Step 4: Simplify right side
    635.66x = 208,979.19
  5. Step 5: Solve for x
    x = 208,979.19/635.66
  6. Step 6: Final answer
    x = 328.76

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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.