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Finding the Fourth Proportional to 642.37, 964.01 and 317.83

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Solution

The fourth proportional to 642.37, 964.01 and 317.83 is: 476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.37 : 964.01 = 317.83 : x
  2. Step 2: Convert to fraction form
    642.37/964.01 = 317.83/x
  3. Step 3: Cross multiply
    642.37x = 964.01 × 317.83
  4. Step 4: Simplify right side
    642.37x = 306,391.30
  5. Step 5: Solve for x
    x = 306,391.30/642.37
  6. Step 6: Final answer
    x = 476.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.