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Finding the Fourth Proportional to 649.08, 895.68 and 428.45

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Solution

The fourth proportional to 649.08, 895.68 and 428.45 is: 591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.08 : 895.68 = 428.45 : x
  2. Step 2: Convert to fraction form
    649.08/895.68 = 428.45/x
  3. Step 3: Cross multiply
    649.08x = 895.68 × 428.45
  4. Step 4: Simplify right side
    649.08x = 383,749.62
  5. Step 5: Solve for x
    x = 383,749.62/649.08
  6. Step 6: Final answer
    x = 591.22

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