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Finding the Fourth Proportional to 547.18, 755.01 and 314.26

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Solution

The fourth proportional to 547.18, 755.01 and 314.26 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.18 : 755.01 = 314.26 : x
  2. Step 2: Convert to fraction form
    547.18/755.01 = 314.26/x
  3. Step 3: Cross multiply
    547.18x = 755.01 × 314.26
  4. Step 4: Simplify right side
    547.18x = 237,269.44
  5. Step 5: Solve for x
    x = 237,269.44/547.18
  6. Step 6: Final answer
    x = 433.62

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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.