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Finding the Fourth Proportional to 648.97, 895.60 and 354.26

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Solution

The fourth proportional to 648.97, 895.60 and 354.26 is: 488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.97 : 895.60 = 354.26 : x
  2. Step 2: Convert to fraction form
    648.97/895.60 = 354.26/x
  3. Step 3: Cross multiply
    648.97x = 895.60 × 354.26
  4. Step 4: Simplify right side
    648.97x = 317,275.26
  5. Step 5: Solve for x
    x = 317,275.26/648.97
  6. Step 6: Final answer
    x = 488.89

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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.