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Finding the Fourth Proportional to 617.22, 851.58 and 470.07

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Solution

The fourth proportional to 617.22, 851.58 and 470.07 is: 648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.22 : 851.58 = 470.07 : x
  2. Step 2: Convert to fraction form
    617.22/851.58 = 470.07/x
  3. Step 3: Cross multiply
    617.22x = 851.58 × 470.07
  4. Step 4: Simplify right side
    617.22x = 400,302.21
  5. Step 5: Solve for x
    x = 400,302.21/617.22
  6. Step 6: Final answer
    x = 648.56

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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.