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Finding the Fourth Proportional to 471.87, 651.10 and 297.09

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Solution

The fourth proportional to 471.87, 651.10 and 297.09 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.87 : 651.10 = 297.09 : x
  2. Step 2: Convert to fraction form
    471.87/651.10 = 297.09/x
  3. Step 3: Cross multiply
    471.87x = 651.10 × 297.09
  4. Step 4: Simplify right side
    471.87x = 193,435.30
  5. Step 5: Solve for x
    x = 193,435.30/471.87
  6. Step 6: Final answer
    x = 409.93

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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.