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Finding the Fourth Proportional to 504.06, 754.92 and 272.40

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Solution

The fourth proportional to 504.06, 754.92 and 272.40 is: 407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 754.92 = 272.40 : x
  2. Step 2: Convert to fraction form
    504.06/754.92 = 272.40/x
  3. Step 3: Cross multiply
    504.06x = 754.92 × 272.40
  4. Step 4: Simplify right side
    504.06x = 205,640.21
  5. Step 5: Solve for x
    x = 205,640.21/504.06
  6. Step 6: Final answer
    x = 407.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.