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Finding the Fourth Proportional to 596.74, 895.13 and 180.29

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Solution

The fourth proportional to 596.74, 895.13 and 180.29 is: 270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 895.13 = 180.29 : x
  2. Step 2: Convert to fraction form
    596.74/895.13 = 180.29/x
  3. Step 3: Cross multiply
    596.74x = 895.13 × 180.29
  4. Step 4: Simplify right side
    596.74x = 161,382.99
  5. Step 5: Solve for x
    x = 161,382.99/596.74
  6. Step 6: Final answer
    x = 270.44

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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.