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Finding the Fourth Proportional to 547.77, 756.15 and 401.46

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Solution

The fourth proportional to 547.77, 756.15 and 401.46 is: 554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.77 : 756.15 = 401.46 : x
  2. Step 2: Convert to fraction form
    547.77/756.15 = 401.46/x
  3. Step 3: Cross multiply
    547.77x = 756.15 × 401.46
  4. Step 4: Simplify right side
    547.77x = 303,563.98
  5. Step 5: Solve for x
    x = 303,563.98/547.77
  6. Step 6: Final answer
    x = 554.18

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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.