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Finding the Fourth Proportional to 596.72, 895.06 and 271.84

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Solution

The fourth proportional to 596.72, 895.06 and 271.84 is: 407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 895.06 = 271.84 : x
  2. Step 2: Convert to fraction form
    596.72/895.06 = 271.84/x
  3. Step 3: Cross multiply
    596.72x = 895.06 × 271.84
  4. Step 4: Simplify right side
    596.72x = 243,313.11
  5. Step 5: Solve for x
    x = 243,313.11/596.72
  6. Step 6: Final answer
    x = 407.75

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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.