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Finding the Fourth Proportional to 596.49, 895.31 and 288.56

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Solution

The fourth proportional to 596.49, 895.31 and 288.56 is: 433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.49 : 895.31 = 288.56 : x
  2. Step 2: Convert to fraction form
    596.49/895.31 = 288.56/x
  3. Step 3: Cross multiply
    596.49x = 895.31 × 288.56
  4. Step 4: Simplify right side
    596.49x = 258,344.73
  5. Step 5: Solve for x
    x = 258,344.73/596.49
  6. Step 6: Final answer
    x = 433.11

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Double scale
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Similar ratio
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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.