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Finding the Fourth Proportional to 468.56, 650.96 and 464.34

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Solution

The fourth proportional to 468.56, 650.96 and 464.34 is: 645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 650.96 = 464.34 : x
  2. Step 2: Convert to fraction form
    468.56/650.96 = 464.34/x
  3. Step 3: Cross multiply
    468.56x = 650.96 × 464.34
  4. Step 4: Simplify right side
    468.56x = 302,266.77
  5. Step 5: Solve for x
    x = 302,266.77/468.56
  6. Step 6: Final answer
    x = 645.10

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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.