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Finding the Fourth Proportional to 412.68, 569.52 and 233.23

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Solution

The fourth proportional to 412.68, 569.52 and 233.23 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 569.52 = 233.23 : x
  2. Step 2: Convert to fraction form
    412.68/569.52 = 233.23/x
  3. Step 3: Cross multiply
    412.68x = 569.52 × 233.23
  4. Step 4: Simplify right side
    412.68x = 132,829.15
  5. Step 5: Solve for x
    x = 132,829.15/412.68
  6. Step 6: Final answer
    x = 321.87

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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.