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Finding the Fourth Proportional to 648.19, 894.50 and 353.45

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Solution

The fourth proportional to 648.19, 894.50 and 353.45 is: 487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.19 : 894.50 = 353.45 : x
  2. Step 2: Convert to fraction form
    648.19/894.50 = 353.45/x
  3. Step 3: Cross multiply
    648.19x = 894.50 × 353.45
  4. Step 4: Simplify right side
    648.19x = 316,161.03
  5. Step 5: Solve for x
    x = 316,161.03/648.19
  6. Step 6: Final answer
    x = 487.76

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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.