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Finding the Fourth Proportional to 434.90, 600.43 and 269.21

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Solution

The fourth proportional to 434.90, 600.43 and 269.21 is: 371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.90 : 600.43 = 269.21 : x
  2. Step 2: Convert to fraction form
    434.90/600.43 = 269.21/x
  3. Step 3: Cross multiply
    434.90x = 600.43 × 269.21
  4. Step 4: Simplify right side
    434.90x = 161,641.76
  5. Step 5: Solve for x
    x = 161,641.76/434.90
  6. Step 6: Final answer
    x = 371.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.