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Finding the Fourth Proportional to 471.96, 651.60 and 297.56

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Solution

The fourth proportional to 471.96, 651.60 and 297.56 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 651.60 = 297.56 : x
  2. Step 2: Convert to fraction form
    471.96/651.60 = 297.56/x
  3. Step 3: Cross multiply
    471.96x = 651.60 × 297.56
  4. Step 4: Simplify right side
    471.96x = 193,890.10
  5. Step 5: Solve for x
    x = 193,890.10/471.96
  6. Step 6: Final answer
    x = 410.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.