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Finding the Fourth Proportional to 546.24, 755.79 and 476.45

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Solution

The fourth proportional to 546.24, 755.79 and 476.45 is: 659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 755.79 = 476.45 : x
  2. Step 2: Convert to fraction form
    546.24/755.79 = 476.45/x
  3. Step 3: Cross multiply
    546.24x = 755.79 × 476.45
  4. Step 4: Simplify right side
    546.24x = 360,092.37
  5. Step 5: Solve for x
    x = 360,092.37/546.24
  6. Step 6: Final answer
    x = 659.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.