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Finding the Fourth Proportional to 648.85, 895.41 and 354.12

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Solution

The fourth proportional to 648.85, 895.41 and 354.12 is: 488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.85 : 895.41 = 354.12 : x
  2. Step 2: Convert to fraction form
    648.85/895.41 = 354.12/x
  3. Step 3: Cross multiply
    648.85x = 895.41 × 354.12
  4. Step 4: Simplify right side
    648.85x = 317,082.59
  5. Step 5: Solve for x
    x = 317,082.59/648.85
  6. Step 6: Final answer
    x = 488.68

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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.