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Finding the Fourth Proportional to 328.70, 453.06 and 234.07

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Solution

The fourth proportional to 328.70, 453.06 and 234.07 is: 322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.70 : 453.06 = 234.07 : x
  2. Step 2: Convert to fraction form
    328.70/453.06 = 234.07/x
  3. Step 3: Cross multiply
    328.70x = 453.06 × 234.07
  4. Step 4: Simplify right side
    328.70x = 106,046.62
  5. Step 5: Solve for x
    x = 106,046.62/328.70
  6. Step 6: Final answer
    x = 322.62

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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.