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Finding the Fourth Proportional to 435.77, 601.29 and 269.90

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Solution

The fourth proportional to 435.77, 601.29 and 269.90 is: 372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.77 : 601.29 = 269.90 : x
  2. Step 2: Convert to fraction form
    435.77/601.29 = 269.90/x
  3. Step 3: Cross multiply
    435.77x = 601.29 × 269.90
  4. Step 4: Simplify right side
    435.77x = 162,285.16
  5. Step 5: Solve for x
    x = 162,285.16/435.77
  6. Step 6: Final answer
    x = 372.41

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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.