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Finding the Fourth Proportional to 370.39, 511.20 and 223.04

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Solution

The fourth proportional to 370.39, 511.20 and 223.04 is: 307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.39 : 511.20 = 223.04 : x
  2. Step 2: Convert to fraction form
    370.39/511.20 = 223.04/x
  3. Step 3: Cross multiply
    370.39x = 511.20 × 223.04
  4. Step 4: Simplify right side
    370.39x = 114,018.05
  5. Step 5: Solve for x
    x = 114,018.05/370.39
  6. Step 6: Final answer
    x = 307.83

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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.