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Finding the Fourth Proportional to 472.08, 647.17 and 464.52

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Solution

The fourth proportional to 472.08, 647.17 and 464.52 is: 636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.08 : 647.17 = 464.52 : x
  2. Step 2: Convert to fraction form
    472.08/647.17 = 464.52/x
  3. Step 3: Cross multiply
    472.08x = 647.17 × 464.52
  4. Step 4: Simplify right side
    472.08x = 300,623.41
  5. Step 5: Solve for x
    x = 300,623.41/472.08
  6. Step 6: Final answer
    x = 636.81

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