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Finding the Fourth Proportional to 328.06, 452.70 and 211.60

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Solution

The fourth proportional to 328.06, 452.70 and 211.60 is: 291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 452.70 = 211.60 : x
  2. Step 2: Convert to fraction form
    328.06/452.70 = 211.60/x
  3. Step 3: Cross multiply
    328.06x = 452.70 × 211.60
  4. Step 4: Simplify right side
    328.06x = 95,791.32
  5. Step 5: Solve for x
    x = 95,791.32/328.06
  6. Step 6: Final answer
    x = 291.99

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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.