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Finding the Fourth Proportional to 471.51, 706.71 and 197.28

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Solution

The fourth proportional to 471.51, 706.71 and 197.28 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.51 : 706.71 = 197.28 : x
  2. Step 2: Convert to fraction form
    471.51/706.71 = 197.28/x
  3. Step 3: Cross multiply
    471.51x = 706.71 × 197.28
  4. Step 4: Simplify right side
    471.51x = 139,419.75
  5. Step 5: Solve for x
    x = 139,419.75/471.51
  6. Step 6: Final answer
    x = 295.69

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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.