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Finding the Fourth Proportional to 296.76, 409.51 and 234.75

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Solution

The fourth proportional to 296.76, 409.51 and 234.75 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.76 : 409.51 = 234.75 : x
  2. Step 2: Convert to fraction form
    296.76/409.51 = 234.75/x
  3. Step 3: Cross multiply
    296.76x = 409.51 × 234.75
  4. Step 4: Simplify right side
    296.76x = 96,130.68
  5. Step 5: Solve for x
    x = 96,130.68/296.76
  6. Step 6: Final answer
    x = 323.93

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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.