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Finding the Fourth Proportional to 663.16, 995.64 and 338.76

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Solution

The fourth proportional to 663.16, 995.64 and 338.76 is: 508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.16 : 995.64 = 338.76 : x
  2. Step 2: Convert to fraction form
    663.16/995.64 = 338.76/x
  3. Step 3: Cross multiply
    663.16x = 995.64 × 338.76
  4. Step 4: Simplify right side
    663.16x = 337,283.01
  5. Step 5: Solve for x
    x = 337,283.01/663.16
  6. Step 6: Final answer
    x = 508.60

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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.