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Finding the Fourth Proportional to 723.96, 998.81 and 458.33

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Solution

The fourth proportional to 723.96, 998.81 and 458.33 is: 632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.96 : 998.81 = 458.33 : x
  2. Step 2: Convert to fraction form
    723.96/998.81 = 458.33/x
  3. Step 3: Cross multiply
    723.96x = 998.81 × 458.33
  4. Step 4: Simplify right side
    723.96x = 457,779.59
  5. Step 5: Solve for x
    x = 457,779.59/723.96
  6. Step 6: Final answer
    x = 632.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.