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Finding the Fourth Proportional to 472.63, 654.99 and 466.02

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Solution

The fourth proportional to 472.63, 654.99 and 466.02 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.63 : 654.99 = 466.02 : x
  2. Step 2: Convert to fraction form
    472.63/654.99 = 466.02/x
  3. Step 3: Cross multiply
    472.63x = 654.99 × 466.02
  4. Step 4: Simplify right side
    472.63x = 305,236.69
  5. Step 5: Solve for x
    x = 305,236.69/472.63
  6. Step 6: Final answer
    x = 645.83

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