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Finding the Fourth Proportional to 471.84, 651.28 and 297.44

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Solution

The fourth proportional to 471.84, 651.28 and 297.44 is: 410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 651.28 = 297.44 : x
  2. Step 2: Convert to fraction form
    471.84/651.28 = 297.44/x
  3. Step 3: Cross multiply
    471.84x = 651.28 × 297.44
  4. Step 4: Simplify right side
    471.84x = 193,716.72
  5. Step 5: Solve for x
    x = 193,716.72/471.84
  6. Step 6: Final answer
    x = 410.56

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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.