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Finding the Fourth Proportional to 415.89, 624.01 and 223.29

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Solution

The fourth proportional to 415.89, 624.01 and 223.29 is: 335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.89 : 624.01 = 223.29 : x
  2. Step 2: Convert to fraction form
    415.89/624.01 = 223.29/x
  3. Step 3: Cross multiply
    415.89x = 624.01 × 223.29
  4. Step 4: Simplify right side
    415.89x = 139,331.51
  5. Step 5: Solve for x
    x = 139,331.51/415.89
  6. Step 6: Final answer
    x = 335.02

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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.