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Finding the Fourth Proportional to 547.68, 755.76 and 381.84

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Solution

The fourth proportional to 547.68, 755.76 and 381.84 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.68 : 755.76 = 381.84 : x
  2. Step 2: Convert to fraction form
    547.68/755.76 = 381.84/x
  3. Step 3: Cross multiply
    547.68x = 755.76 × 381.84
  4. Step 4: Simplify right side
    547.68x = 288,579.40
  5. Step 5: Solve for x
    x = 288,579.40/547.68
  6. Step 6: Final answer
    x = 526.91

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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.