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Finding the Fourth Proportional to 547.21, 755.10 and 314.32

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Solution

The fourth proportional to 547.21, 755.10 and 314.32 is: 433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.21 : 755.10 = 314.32 : x
  2. Step 2: Convert to fraction form
    547.21/755.10 = 314.32/x
  3. Step 3: Cross multiply
    547.21x = 755.10 × 314.32
  4. Step 4: Simplify right side
    547.21x = 237,343.03
  5. Step 5: Solve for x
    x = 237,343.03/547.21
  6. Step 6: Final answer
    x = 433.73

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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.