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Finding the Fourth Proportional to 665.40, 998.10 and 549.98

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Solution

The fourth proportional to 665.40, 998.10 and 549.98 is: 824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 998.10 = 549.98 : x
  2. Step 2: Convert to fraction form
    665.40/998.10 = 549.98/x
  3. Step 3: Cross multiply
    665.40x = 998.10 × 549.98
  4. Step 4: Simplify right side
    665.40x = 548,930.05
  5. Step 5: Solve for x
    x = 548,930.05/665.40
  6. Step 6: Final answer
    x = 824.96

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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.