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Finding the Fourth Proportional to 648.67, 895.14 and 353.94

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Solution

The fourth proportional to 648.67, 895.14 and 353.94 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.67 : 895.14 = 353.94 : x
  2. Step 2: Convert to fraction form
    648.67/895.14 = 353.94/x
  3. Step 3: Cross multiply
    648.67x = 895.14 × 353.94
  4. Step 4: Simplify right side
    648.67x = 316,825.85
  5. Step 5: Solve for x
    x = 316,825.85/648.67
  6. Step 6: Final answer
    x = 488.42

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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.