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Finding the Fourth Proportional to 547.64, 755.72 and 314.75

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Solution

The fourth proportional to 547.64, 755.72 and 314.75 is: 434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 755.72 = 314.75 : x
  2. Step 2: Convert to fraction form
    547.64/755.72 = 314.75/x
  3. Step 3: Cross multiply
    547.64x = 755.72 × 314.75
  4. Step 4: Simplify right side
    547.64x = 237,862.87
  5. Step 5: Solve for x
    x = 237,862.87/547.64
  6. Step 6: Final answer
    x = 434.34

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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.