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Finding the Fourth Proportional to 377.28, 565.44 and 206.40

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Solution

The fourth proportional to 377.28, 565.44 and 206.40 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.28 : 565.44 = 206.40 : x
  2. Step 2: Convert to fraction form
    377.28/565.44 = 206.40/x
  3. Step 3: Cross multiply
    377.28x = 565.44 × 206.40
  4. Step 4: Simplify right side
    377.28x = 116,706.82
  5. Step 5: Solve for x
    x = 116,706.82/377.28
  6. Step 6: Final answer
    x = 309.34

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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.