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Finding the Fourth Proportional to 649.04, 895.64 and 354.30

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Solution

The fourth proportional to 649.04, 895.64 and 354.30 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 895.64 = 354.30 : x
  2. Step 2: Convert to fraction form
    649.04/895.64 = 354.30/x
  3. Step 3: Cross multiply
    649.04x = 895.64 × 354.30
  4. Step 4: Simplify right side
    649.04x = 317,325.25
  5. Step 5: Solve for x
    x = 317,325.25/649.04
  6. Step 6: Final answer
    x = 488.91

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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.