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Finding the Fourth Proportional to 665.19, 995.96 and 502.38

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Solution

The fourth proportional to 665.19, 995.96 and 502.38 is: 752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.19 : 995.96 = 502.38 : x
  2. Step 2: Convert to fraction form
    665.19/995.96 = 502.38/x
  3. Step 3: Cross multiply
    665.19x = 995.96 × 502.38
  4. Step 4: Simplify right side
    665.19x = 500,347.87
  5. Step 5: Solve for x
    x = 500,347.87/665.19
  6. Step 6: Final answer
    x = 752.19

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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.