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Finding the Fourth Proportional to 664.60, 994.74 and 469.72

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Solution

The fourth proportional to 664.60, 994.74 and 469.72 is: 703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 994.74 = 469.72 : x
  2. Step 2: Convert to fraction form
    664.60/994.74 = 469.72/x
  3. Step 3: Cross multiply
    664.60x = 994.74 × 469.72
  4. Step 4: Simplify right side
    664.60x = 467,249.27
  5. Step 5: Solve for x
    x = 467,249.27/664.60
  6. Step 6: Final answer
    x = 703.05

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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.