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Finding the Fourth Proportional to 410.67, 566.75 and 233.63

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Solution

The fourth proportional to 410.67, 566.75 and 233.63 is: 322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 566.75 = 233.63 : x
  2. Step 2: Convert to fraction form
    410.67/566.75 = 233.63/x
  3. Step 3: Cross multiply
    410.67x = 566.75 × 233.63
  4. Step 4: Simplify right side
    410.67x = 132,405.80
  5. Step 5: Solve for x
    x = 132,405.80/410.67
  6. Step 6: Final answer
    x = 322.41

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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.