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Finding the Fourth Proportional to 423.51, 634.60 and 269.07

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Solution

The fourth proportional to 423.51, 634.60 and 269.07 is: 403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.51 : 634.60 = 269.07 : x
  2. Step 2: Convert to fraction form
    423.51/634.60 = 269.07/x
  3. Step 3: Cross multiply
    423.51x = 634.60 × 269.07
  4. Step 4: Simplify right side
    423.51x = 170,751.82
  5. Step 5: Solve for x
    x = 170,751.82/423.51
  6. Step 6: Final answer
    x = 403.18

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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.