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Finding the Fourth Proportional to 547.92, 754.44 and 477.84

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Solution

The fourth proportional to 547.92, 754.44 and 477.84 is: 657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 754.44 = 477.84 : x
  2. Step 2: Convert to fraction form
    547.92/754.44 = 477.84/x
  3. Step 3: Cross multiply
    547.92x = 754.44 × 477.84
  4. Step 4: Simplify right side
    547.92x = 360,501.61
  5. Step 5: Solve for x
    x = 360,501.61/547.92
  6. Step 6: Final answer
    x = 657.95

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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.