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Finding the Fourth Proportional to 541.64, 812.23 and 208.04

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Solution

The fourth proportional to 541.64, 812.23 and 208.04 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.64 : 812.23 = 208.04 : x
  2. Step 2: Convert to fraction form
    541.64/812.23 = 208.04/x
  3. Step 3: Cross multiply
    541.64x = 812.23 × 208.04
  4. Step 4: Simplify right side
    541.64x = 168,972.53
  5. Step 5: Solve for x
    x = 168,972.53/541.64
  6. Step 6: Final answer
    x = 311.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.