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Finding the Fourth Proportional to 471.38, 707.10 and 197.50

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Solution

The fourth proportional to 471.38, 707.10 and 197.50 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.38 : 707.10 = 197.50 : x
  2. Step 2: Convert to fraction form
    471.38/707.10 = 197.50/x
  3. Step 3: Cross multiply
    471.38x = 707.10 × 197.50
  4. Step 4: Simplify right side
    471.38x = 139,652.25
  5. Step 5: Solve for x
    x = 139,652.25/471.38
  6. Step 6: Final answer
    x = 296.26

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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.