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Finding the Fourth Proportional to 328.13, 452.81 and 211.76

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Solution

The fourth proportional to 328.13, 452.81 and 211.76 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.13 : 452.81 = 211.76 : x
  2. Step 2: Convert to fraction form
    328.13/452.81 = 211.76/x
  3. Step 3: Cross multiply
    328.13x = 452.81 × 211.76
  4. Step 4: Simplify right side
    328.13x = 95,887.05
  5. Step 5: Solve for x
    x = 95,887.05/328.13
  6. Step 6: Final answer
    x = 292.22

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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.