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Finding the Fourth Proportional to 664.66, 997.50 and 459.52

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Solution

The fourth proportional to 664.66, 997.50 and 459.52 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.66 : 997.50 = 459.52 : x
  2. Step 2: Convert to fraction form
    664.66/997.50 = 459.52/x
  3. Step 3: Cross multiply
    664.66x = 997.50 × 459.52
  4. Step 4: Simplify right side
    664.66x = 458,373.46
  5. Step 5: Solve for x
    x = 458,373.46/664.66
  6. Step 6: Final answer
    x = 689.64

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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.