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Finding the Fourth Proportional to 469.89, 648.90 and 353.25

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Solution

The fourth proportional to 469.89, 648.90 and 353.25 is: 487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 648.90 = 353.25 : x
  2. Step 2: Convert to fraction form
    469.89/648.90 = 353.25/x
  3. Step 3: Cross multiply
    469.89x = 648.90 × 353.25
  4. Step 4: Simplify right side
    469.89x = 229,223.93
  5. Step 5: Solve for x
    x = 229,223.93/469.89
  6. Step 6: Final answer
    x = 487.82

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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.