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Finding the Fourth Proportional to 649.56, 895.96 and 428.56

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Solution

The fourth proportional to 649.56, 895.96 and 428.56 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 895.96 = 428.56 : x
  2. Step 2: Convert to fraction form
    649.56/895.96 = 428.56/x
  3. Step 3: Cross multiply
    649.56x = 895.96 × 428.56
  4. Step 4: Simplify right side
    649.56x = 383,972.62
  5. Step 5: Solve for x
    x = 383,972.62/649.56
  6. Step 6: Final answer
    x = 591.13

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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.