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Finding the Fourth Proportional to 648.09, 971.35 and 475.49

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Solution

The fourth proportional to 648.09, 971.35 and 475.49 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 971.35 = 475.49 : x
  2. Step 2: Convert to fraction form
    648.09/971.35 = 475.49/x
  3. Step 3: Cross multiply
    648.09x = 971.35 × 475.49
  4. Step 4: Simplify right side
    648.09x = 461,868.45
  5. Step 5: Solve for x
    x = 461,868.45/648.09
  6. Step 6: Final answer
    x = 712.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.