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Finding the Fourth Proportional to 295.68, 407.36 and 233.49

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Solution

The fourth proportional to 295.68, 407.36 and 233.49 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.68 : 407.36 = 233.49 : x
  2. Step 2: Convert to fraction form
    295.68/407.36 = 233.49/x
  3. Step 3: Cross multiply
    295.68x = 407.36 × 233.49
  4. Step 4: Simplify right side
    295.68x = 95,112.45
  5. Step 5: Solve for x
    x = 95,112.45/295.68
  6. Step 6: Final answer
    x = 321.68

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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.