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Finding the Fourth Proportional to 329.16, 454.02 and 211.17

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Solution

The fourth proportional to 329.16, 454.02 and 211.17 is: 291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.16 : 454.02 = 211.17 : x
  2. Step 2: Convert to fraction form
    329.16/454.02 = 211.17/x
  3. Step 3: Cross multiply
    329.16x = 454.02 × 211.17
  4. Step 4: Simplify right side
    329.16x = 95,875.40
  5. Step 5: Solve for x
    x = 95,875.40/329.16
  6. Step 6: Final answer
    x = 291.27

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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.