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Finding the Fourth Proportional to 471.86, 707.64 and 197.81

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Solution

The fourth proportional to 471.86, 707.64 and 197.81 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.86 : 707.64 = 197.81 : x
  2. Step 2: Convert to fraction form
    471.86/707.64 = 197.81/x
  3. Step 3: Cross multiply
    471.86x = 707.64 × 197.81
  4. Step 4: Simplify right side
    471.86x = 139,976.64
  5. Step 5: Solve for x
    x = 139,976.64/471.86
  6. Step 6: Final answer
    x = 296.65

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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.