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Finding the Fourth Proportional to 471.46, 707.07 and 197.55

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Solution

The fourth proportional to 471.46, 707.07 and 197.55 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.46 : 707.07 = 197.55 : x
  2. Step 2: Convert to fraction form
    471.46/707.07 = 197.55/x
  3. Step 3: Cross multiply
    471.46x = 707.07 × 197.55
  4. Step 4: Simplify right side
    471.46x = 139,685.07
  5. Step 5: Solve for x
    x = 139,685.07/471.46
  6. Step 6: Final answer
    x = 296.28

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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.