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Finding the Fourth Proportional to 649.64, 895.22 and 472.30

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Solution

The fourth proportional to 649.64, 895.22 and 472.30 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 895.22 = 472.30 : x
  2. Step 2: Convert to fraction form
    649.64/895.22 = 472.30/x
  3. Step 3: Cross multiply
    649.64x = 895.22 × 472.30
  4. Step 4: Simplify right side
    649.64x = 422,812.41
  5. Step 5: Solve for x
    x = 422,812.41/649.64
  6. Step 6: Final answer
    x = 650.84

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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.