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Finding the Fourth Proportional to 435.91, 600.69 and 311.35

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Solution

The fourth proportional to 435.91, 600.69 and 311.35 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.91 : 600.69 = 311.35 : x
  2. Step 2: Convert to fraction form
    435.91/600.69 = 311.35/x
  3. Step 3: Cross multiply
    435.91x = 600.69 × 311.35
  4. Step 4: Simplify right side
    435.91x = 187,024.83
  5. Step 5: Solve for x
    x = 187,024.83/435.91
  6. Step 6: Final answer
    x = 429.04

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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.