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Finding the Fourth Proportional to 596.98, 895.48 and 272.44

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Solution

The fourth proportional to 596.98, 895.48 and 272.44 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.98 : 895.48 = 272.44 : x
  2. Step 2: Convert to fraction form
    596.98/895.48 = 272.44/x
  3. Step 3: Cross multiply
    596.98x = 895.48 × 272.44
  4. Step 4: Simplify right side
    596.98x = 243,964.57
  5. Step 5: Solve for x
    x = 243,964.57/596.98
  6. Step 6: Final answer
    x = 408.66

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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.