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Finding the Fourth Proportional to 596.73, 895.42 and 449.47

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Solution

The fourth proportional to 596.73, 895.42 and 449.47 is: 674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.73 : 895.42 = 449.47 : x
  2. Step 2: Convert to fraction form
    596.73/895.42 = 449.47/x
  3. Step 3: Cross multiply
    596.73x = 895.42 × 449.47
  4. Step 4: Simplify right side
    596.73x = 402,463.30
  5. Step 5: Solve for x
    x = 402,463.30/596.73
  6. Step 6: Final answer
    x = 674.45

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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.