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Finding the Fourth Proportional to 547.72, 754.24 and 468.72

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Solution

The fourth proportional to 547.72, 754.24 and 468.72 is: 645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.72 : 754.24 = 468.72 : x
  2. Step 2: Convert to fraction form
    547.72/754.24 = 468.72/x
  3. Step 3: Cross multiply
    547.72x = 754.24 × 468.72
  4. Step 4: Simplify right side
    547.72x = 353,527.37
  5. Step 5: Solve for x
    x = 353,527.37/547.72
  6. Step 6: Final answer
    x = 645.45

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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.