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Finding the Fourth Proportional to 547.66, 755.76 and 298.99

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Solution

The fourth proportional to 547.66, 755.76 and 298.99 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 755.76 = 298.99 : x
  2. Step 2: Convert to fraction form
    547.66/755.76 = 298.99/x
  3. Step 3: Cross multiply
    547.66x = 755.76 × 298.99
  4. Step 4: Simplify right side
    547.66x = 225,959.41
  5. Step 5: Solve for x
    x = 225,959.41/547.66
  6. Step 6: Final answer
    x = 412.59

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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.