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Finding the Fourth Proportional to 648.09, 894.35 and 353.35

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Solution

The fourth proportional to 648.09, 894.35 and 353.35 is: 487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 894.35 = 353.35 : x
  2. Step 2: Convert to fraction form
    648.09/894.35 = 353.35/x
  3. Step 3: Cross multiply
    648.09x = 894.35 × 353.35
  4. Step 4: Simplify right side
    648.09x = 316,018.57
  5. Step 5: Solve for x
    x = 316,018.57/648.09
  6. Step 6: Final answer
    x = 487.62

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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.