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Finding the Fourth Proportional to 471.87, 653.99 and 464.85

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Solution

The fourth proportional to 471.87, 653.99 and 464.85 is: 644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.87 : 653.99 = 464.85 : x
  2. Step 2: Convert to fraction form
    471.87/653.99 = 464.85/x
  3. Step 3: Cross multiply
    471.87x = 653.99 × 464.85
  4. Step 4: Simplify right side
    471.87x = 304,004.93
  5. Step 5: Solve for x
    x = 304,004.93/471.87
  6. Step 6: Final answer
    x = 644.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.