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Finding the Fourth Proportional to 642.90, 964.77 and 354.54

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Solution

The fourth proportional to 642.90, 964.77 and 354.54 is: 532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.90 : 964.77 = 354.54 : x
  2. Step 2: Convert to fraction form
    642.90/964.77 = 354.54/x
  3. Step 3: Cross multiply
    642.90x = 964.77 × 354.54
  4. Step 4: Simplify right side
    642.90x = 342,049.56
  5. Step 5: Solve for x
    x = 342,049.56/642.90
  6. Step 6: Final answer
    x = 532.04

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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.