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Finding the Fourth Proportional to 648.98, 895.54 and 354.24

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Solution

The fourth proportional to 648.98, 895.54 and 354.24 is: 488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.98 : 895.54 = 354.24 : x
  2. Step 2: Convert to fraction form
    648.98/895.54 = 354.24/x
  3. Step 3: Cross multiply
    648.98x = 895.54 × 354.24
  4. Step 4: Simplify right side
    648.98x = 317,236.09
  5. Step 5: Solve for x
    x = 317,236.09/648.98
  6. Step 6: Final answer
    x = 488.82

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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.