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Finding the Fourth Proportional to 664.17, 995.72 and 500.01

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Solution

The fourth proportional to 664.17, 995.72 and 500.01 is: 749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.17 : 995.72 = 500.01 : x
  2. Step 2: Convert to fraction form
    664.17/995.72 = 500.01/x
  3. Step 3: Cross multiply
    664.17x = 995.72 × 500.01
  4. Step 4: Simplify right side
    664.17x = 497,867.46
  5. Step 5: Solve for x
    x = 497,867.46/664.17
  6. Step 6: Final answer
    x = 749.61

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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.