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Finding the Fourth Proportional to 546.36, 755.97 and 476.58

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Solution

The fourth proportional to 546.36, 755.97 and 476.58 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 755.97 = 476.58 : x
  2. Step 2: Convert to fraction form
    546.36/755.97 = 476.58/x
  3. Step 3: Cross multiply
    546.36x = 755.97 × 476.58
  4. Step 4: Simplify right side
    546.36x = 360,280.18
  5. Step 5: Solve for x
    x = 360,280.18/546.36
  6. Step 6: Final answer
    x = 659.42

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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.