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Finding the Fourth Proportional to 596.24, 895.44 and 452.96

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Solution

The fourth proportional to 596.24, 895.44 and 452.96 is: 680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 895.44 = 452.96 : x
  2. Step 2: Convert to fraction form
    596.24/895.44 = 452.96/x
  3. Step 3: Cross multiply
    596.24x = 895.44 × 452.96
  4. Step 4: Simplify right side
    596.24x = 405,598.50
  5. Step 5: Solve for x
    x = 405,598.50/596.24
  6. Step 6: Final answer
    x = 680.26

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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.