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Finding the Fourth Proportional to 471.64, 706.96 and 197.35

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Solution

The fourth proportional to 471.64, 706.96 and 197.35 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 706.96 = 197.35 : x
  2. Step 2: Convert to fraction form
    471.64/706.96 = 197.35/x
  3. Step 3: Cross multiply
    471.64x = 706.96 × 197.35
  4. Step 4: Simplify right side
    471.64x = 139,518.56
  5. Step 5: Solve for x
    x = 139,518.56/471.64
  6. Step 6: Final answer
    x = 295.82

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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.