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Finding the Fourth Proportional to 596.41, 895.37 and 459.54

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Solution

The fourth proportional to 596.41, 895.37 and 459.54 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.41 : 895.37 = 459.54 : x
  2. Step 2: Convert to fraction form
    596.41/895.37 = 459.54/x
  3. Step 3: Cross multiply
    596.41x = 895.37 × 459.54
  4. Step 4: Simplify right side
    596.41x = 411,456.03
  5. Step 5: Solve for x
    x = 411,456.03/596.41
  6. Step 6: Final answer
    x = 689.89

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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.