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Finding the Fourth Proportional to 471.84, 651.29 and 297.30

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Solution

The fourth proportional to 471.84, 651.29 and 297.30 is: 410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 651.29 = 297.30 : x
  2. Step 2: Convert to fraction form
    471.84/651.29 = 297.30/x
  3. Step 3: Cross multiply
    471.84x = 651.29 × 297.30
  4. Step 4: Simplify right side
    471.84x = 193,627.03
  5. Step 5: Solve for x
    x = 193,627.03/471.84
  6. Step 6: Final answer
    x = 410.37

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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.