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Finding the Fourth Proportional to 684.82, 945.36 and 475.70

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Solution

The fourth proportional to 684.82, 945.36 and 475.70 is: 656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.82 : 945.36 = 475.70 : x
  2. Step 2: Convert to fraction form
    684.82/945.36 = 475.70/x
  3. Step 3: Cross multiply
    684.82x = 945.36 × 475.70
  4. Step 4: Simplify right side
    684.82x = 449,705.37
  5. Step 5: Solve for x
    x = 449,705.37/684.82
  6. Step 6: Final answer
    x = 656.68

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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.