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Finding the Fourth Proportional to 547.90, 756.27 and 382.05

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Solution

The fourth proportional to 547.90, 756.27 and 382.05 is: 527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.90 : 756.27 = 382.05 : x
  2. Step 2: Convert to fraction form
    547.90/756.27 = 382.05/x
  3. Step 3: Cross multiply
    547.90x = 756.27 × 382.05
  4. Step 4: Simplify right side
    547.90x = 288,932.95
  5. Step 5: Solve for x
    x = 288,932.95/547.90
  6. Step 6: Final answer
    x = 527.35

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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.