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Finding the Fourth Proportional to 410.84, 566.92 and 233.78

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Solution

The fourth proportional to 410.84, 566.92 and 233.78 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 566.92 = 233.78 : x
  2. Step 2: Convert to fraction form
    410.84/566.92 = 233.78/x
  3. Step 3: Cross multiply
    410.84x = 566.92 × 233.78
  4. Step 4: Simplify right side
    410.84x = 132,534.56
  5. Step 5: Solve for x
    x = 132,534.56/410.84
  6. Step 6: Final answer
    x = 322.59

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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.