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Finding the Fourth Proportional to 471.39, 706.59 and 197.10

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Solution

The fourth proportional to 471.39, 706.59 and 197.10 is: 295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.39 : 706.59 = 197.10 : x
  2. Step 2: Convert to fraction form
    471.39/706.59 = 197.10/x
  3. Step 3: Cross multiply
    471.39x = 706.59 × 197.10
  4. Step 4: Simplify right side
    471.39x = 139,268.89
  5. Step 5: Solve for x
    x = 139,268.89/471.39
  6. Step 6: Final answer
    x = 295.44

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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.