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Finding the Fourth Proportional to 410.67, 566.81 and 236.13

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Solution

The fourth proportional to 410.67, 566.81 and 236.13 is: 325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 566.81 = 236.13 : x
  2. Step 2: Convert to fraction form
    410.67/566.81 = 236.13/x
  3. Step 3: Cross multiply
    410.67x = 566.81 × 236.13
  4. Step 4: Simplify right side
    410.67x = 133,840.85
  5. Step 5: Solve for x
    x = 133,840.85/410.67
  6. Step 6: Final answer
    x = 325.91

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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.