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Finding the Fourth Proportional to 436.06, 652.74 and 272.98

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Solution

The fourth proportional to 436.06, 652.74 and 272.98 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.06 : 652.74 = 272.98 : x
  2. Step 2: Convert to fraction form
    436.06/652.74 = 272.98/x
  3. Step 3: Cross multiply
    436.06x = 652.74 × 272.98
  4. Step 4: Simplify right side
    436.06x = 178,184.97
  5. Step 5: Solve for x
    x = 178,184.97/436.06
  6. Step 6: Final answer
    x = 408.62

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Why These Related Problems?

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