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Finding the Fourth Proportional to 648.21, 894.56 and 353.50

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Solution

The fourth proportional to 648.21, 894.56 and 353.50 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.21 : 894.56 = 353.50 : x
  2. Step 2: Convert to fraction form
    648.21/894.56 = 353.50/x
  3. Step 3: Cross multiply
    648.21x = 894.56 × 353.50
  4. Step 4: Simplify right side
    648.21x = 316,222.49
  5. Step 5: Solve for x
    x = 316,222.49/648.21
  6. Step 6: Final answer
    x = 487.84

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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.