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Finding the Fourth Proportional to 642.80, 963.48 and 354.80

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Solution

The fourth proportional to 642.80, 963.48 and 354.80 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.80 : 963.48 = 354.80 : x
  2. Step 2: Convert to fraction form
    642.80/963.48 = 354.80/x
  3. Step 3: Cross multiply
    642.80x = 963.48 × 354.80
  4. Step 4: Simplify right side
    642.80x = 341,842.70
  5. Step 5: Solve for x
    x = 341,842.70/642.80
  6. Step 6: Final answer
    x = 531.80

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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.