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Finding the Fourth Proportional to 617.63, 852.32 and 470.75

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Solution

The fourth proportional to 617.63, 852.32 and 470.75 is: 649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.63 : 852.32 = 470.75 : x
  2. Step 2: Convert to fraction form
    617.63/852.32 = 470.75/x
  3. Step 3: Cross multiply
    617.63x = 852.32 × 470.75
  4. Step 4: Simplify right side
    617.63x = 401,226.56
  5. Step 5: Solve for x
    x = 401,226.56/617.63
  6. Step 6: Final answer
    x = 649.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.