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Finding the Fourth Proportional to 649.31, 896.14 and 428.72

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Solution

The fourth proportional to 649.31, 896.14 and 428.72 is: 591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.31 : 896.14 = 428.72 : x
  2. Step 2: Convert to fraction form
    649.31/896.14 = 428.72/x
  3. Step 3: Cross multiply
    649.31x = 896.14 × 428.72
  4. Step 4: Simplify right side
    649.31x = 384,193.24
  5. Step 5: Solve for x
    x = 384,193.24/649.31
  6. Step 6: Final answer
    x = 591.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.