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Finding the Fourth Proportional to 547.24, 755.36 and 314.52

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Solution

The fourth proportional to 547.24, 755.36 and 314.52 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 755.36 = 314.52 : x
  2. Step 2: Convert to fraction form
    547.24/755.36 = 314.52/x
  3. Step 3: Cross multiply
    547.24x = 755.36 × 314.52
  4. Step 4: Simplify right side
    547.24x = 237,575.83
  5. Step 5: Solve for x
    x = 237,575.83/547.24
  6. Step 6: Final answer
    x = 434.13

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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.