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Finding the Fourth Proportional to 547.52, 755.48 and 314.60

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Solution

The fourth proportional to 547.52, 755.48 and 314.60 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 755.48 = 314.60 : x
  2. Step 2: Convert to fraction form
    547.52/755.48 = 314.60/x
  3. Step 3: Cross multiply
    547.52x = 755.48 × 314.60
  4. Step 4: Simplify right side
    547.52x = 237,670.23
  5. Step 5: Solve for x
    x = 237,670.23/547.52
  6. Step 6: Final answer
    x = 434.09

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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.