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Finding the Fourth Proportional to 547.11, 754.54 and 477.07

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Solution

The fourth proportional to 547.11, 754.54 and 477.07 is: 657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.11 : 754.54 = 477.07 : x
  2. Step 2: Convert to fraction form
    547.11/754.54 = 477.07/x
  3. Step 3: Cross multiply
    547.11x = 754.54 × 477.07
  4. Step 4: Simplify right side
    547.11x = 359,965.32
  5. Step 5: Solve for x
    x = 359,965.32/547.11
  6. Step 6: Final answer
    x = 657.94

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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.