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Finding the Fourth Proportional to 617.31, 851.58 and 468.34

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Solution

The fourth proportional to 617.31, 851.58 and 468.34 is: 646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.31 : 851.58 = 468.34 : x
  2. Step 2: Convert to fraction form
    617.31/851.58 = 468.34/x
  3. Step 3: Cross multiply
    617.31x = 851.58 × 468.34
  4. Step 4: Simplify right side
    617.31x = 398,826.85
  5. Step 5: Solve for x
    x = 398,826.85/617.31
  6. Step 6: Final answer
    x = 646.07

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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.