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Finding the Fourth Proportional to 423.18, 634.32 and 206.46

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Solution

The fourth proportional to 423.18, 634.32 and 206.46 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 634.32 = 206.46 : x
  2. Step 2: Convert to fraction form
    423.18/634.32 = 206.46/x
  3. Step 3: Cross multiply
    423.18x = 634.32 × 206.46
  4. Step 4: Simplify right side
    423.18x = 130,961.71
  5. Step 5: Solve for x
    x = 130,961.71/423.18
  6. Step 6: Final answer
    x = 309.47

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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.