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Finding the Fourth Proportional to 328.07, 452.83 and 211.63

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Solution

The fourth proportional to 328.07, 452.83 and 211.63 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.07 : 452.83 = 211.63 : x
  2. Step 2: Convert to fraction form
    328.07/452.83 = 211.63/x
  3. Step 3: Cross multiply
    328.07x = 452.83 × 211.63
  4. Step 4: Simplify right side
    328.07x = 95,830.15
  5. Step 5: Solve for x
    x = 95,830.15/328.07
  6. Step 6: Final answer
    x = 292.11

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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.