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Finding the Fourth Proportional to 272.65, 407 and 252.63

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Solution

The fourth proportional to 272.65, 407 and 252.63 is: 377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.65 : 407 = 252.63 : x
  2. Step 2: Convert to fraction form
    272.65/407 = 252.63/x
  3. Step 3: Cross multiply
    272.65x = 407 × 252.63
  4. Step 4: Simplify right side
    272.65x = 102,820.41
  5. Step 5: Solve for x
    x = 102,820.41/272.65
  6. Step 6: Final answer
    x = 377.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.