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Finding the Fourth Proportional to 596.70, 895.18 and 185.82

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Solution

The fourth proportional to 596.70, 895.18 and 185.82 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.70 : 895.18 = 185.82 : x
  2. Step 2: Convert to fraction form
    596.70/895.18 = 185.82/x
  3. Step 3: Cross multiply
    596.70x = 895.18 × 185.82
  4. Step 4: Simplify right side
    596.70x = 166,342.35
  5. Step 5: Solve for x
    x = 166,342.35/596.70
  6. Step 6: Final answer
    x = 278.77

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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.