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Finding the Fourth Proportional to 435.75, 601.11 and 288.42

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Solution

The fourth proportional to 435.75, 601.11 and 288.42 is: 397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.75 : 601.11 = 288.42 : x
  2. Step 2: Convert to fraction form
    435.75/601.11 = 288.42/x
  3. Step 3: Cross multiply
    435.75x = 601.11 × 288.42
  4. Step 4: Simplify right side
    435.75x = 173,372.15
  5. Step 5: Solve for x
    x = 173,372.15/435.75
  6. Step 6: Final answer
    x = 397.87

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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.