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Finding the Fourth Proportional to 471.32, 706.53 and 197.66

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Solution

The fourth proportional to 471.32, 706.53 and 197.66 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.32 : 706.53 = 197.66 : x
  2. Step 2: Convert to fraction form
    471.32/706.53 = 197.66/x
  3. Step 3: Cross multiply
    471.32x = 706.53 × 197.66
  4. Step 4: Simplify right side
    471.32x = 139,649.19
  5. Step 5: Solve for x
    x = 139,649.19/471.32
  6. Step 6: Final answer
    x = 296.29

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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.