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Finding the Fourth Proportional to 646.38, 967.68 and 502.20

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Solution

The fourth proportional to 646.38, 967.68 and 502.20 is: 751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 967.68 = 502.20 : x
  2. Step 2: Convert to fraction form
    646.38/967.68 = 502.20/x
  3. Step 3: Cross multiply
    646.38x = 967.68 × 502.20
  4. Step 4: Simplify right side
    646.38x = 485,968.90
  5. Step 5: Solve for x
    x = 485,968.90/646.38
  6. Step 6: Final answer
    x = 751.83

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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.