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Finding the Fourth Proportional to 547.16, 755.01 and 311.07

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Solution

The fourth proportional to 547.16, 755.01 and 311.07 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 755.01 = 311.07 : x
  2. Step 2: Convert to fraction form
    547.16/755.01 = 311.07/x
  3. Step 3: Cross multiply
    547.16x = 755.01 × 311.07
  4. Step 4: Simplify right side
    547.16x = 234,860.96
  5. Step 5: Solve for x
    x = 234,860.96/547.16
  6. Step 6: Final answer
    x = 429.23

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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.