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Finding the Fourth Proportional to 649.12, 895.49 and 471.63

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Solution

The fourth proportional to 649.12, 895.49 and 471.63 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.12 : 895.49 = 471.63 : x
  2. Step 2: Convert to fraction form
    649.12/895.49 = 471.63/x
  3. Step 3: Cross multiply
    649.12x = 895.49 × 471.63
  4. Step 4: Simplify right side
    649.12x = 422,339.95
  5. Step 5: Solve for x
    x = 422,339.95/649.12
  6. Step 6: Final answer
    x = 650.63

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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.