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Finding the Fourth Proportional to 665.52, 998.08 and 459.66

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Solution

The fourth proportional to 665.52, 998.08 and 459.66 is: 689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.52 : 998.08 = 459.66 : x
  2. Step 2: Convert to fraction form
    665.52/998.08 = 459.66/x
  3. Step 3: Cross multiply
    665.52x = 998.08 × 459.66
  4. Step 4: Simplify right side
    665.52x = 458,777.45
  5. Step 5: Solve for x
    x = 458,777.45/665.52
  6. Step 6: Final answer
    x = 689.35

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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.