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Finding the Fourth Proportional to 435.87, 601.11 and 311.94

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Solution

The fourth proportional to 435.87, 601.11 and 311.94 is: 430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.87 : 601.11 = 311.94 : x
  2. Step 2: Convert to fraction form
    435.87/601.11 = 311.94/x
  3. Step 3: Cross multiply
    435.87x = 601.11 × 311.94
  4. Step 4: Simplify right side
    435.87x = 187,510.25
  5. Step 5: Solve for x
    x = 187,510.25/435.87
  6. Step 6: Final answer
    x = 430.20

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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.