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Finding the Fourth Proportional to 471.98, 645.55 and 464.42

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Solution

The fourth proportional to 471.98, 645.55 and 464.42 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.98 : 645.55 = 464.42 : x
  2. Step 2: Convert to fraction form
    471.98/645.55 = 464.42/x
  3. Step 3: Cross multiply
    471.98x = 645.55 × 464.42
  4. Step 4: Simplify right side
    471.98x = 299,806.33
  5. Step 5: Solve for x
    x = 299,806.33/471.98
  6. Step 6: Final answer
    x = 635.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.