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Finding the Fourth Proportional to 424.08, 636.18 and 193.04

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Solution

The fourth proportional to 424.08, 636.18 and 193.04 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.08 : 636.18 = 193.04 : x
  2. Step 2: Convert to fraction form
    424.08/636.18 = 193.04/x
  3. Step 3: Cross multiply
    424.08x = 636.18 × 193.04
  4. Step 4: Simplify right side
    424.08x = 122,808.19
  5. Step 5: Solve for x
    x = 122,808.19/424.08
  6. Step 6: Final answer
    x = 289.59

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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.