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Finding the Fourth Proportional to 648.29, 894.66 and 353.54

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Solution

The fourth proportional to 648.29, 894.66 and 353.54 is: 487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.29 : 894.66 = 353.54 : x
  2. Step 2: Convert to fraction form
    648.29/894.66 = 353.54/x
  3. Step 3: Cross multiply
    648.29x = 894.66 × 353.54
  4. Step 4: Simplify right side
    648.29x = 316,298.10
  5. Step 5: Solve for x
    x = 316,298.10/648.29
  6. Step 6: Final answer
    x = 487.90

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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.