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Finding the Fourth Proportional to 407.90, 562.96 and 233.26

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Solution

The fourth proportional to 407.90, 562.96 and 233.26 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.90 : 562.96 = 233.26 : x
  2. Step 2: Convert to fraction form
    407.90/562.96 = 233.26/x
  3. Step 3: Cross multiply
    407.90x = 562.96 × 233.26
  4. Step 4: Simplify right side
    407.90x = 131,316.05
  5. Step 5: Solve for x
    x = 131,316.05/407.90
  6. Step 6: Final answer
    x = 321.93

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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.