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Finding the Fourth Proportional to 387.56, 581.58 and 205.09

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Solution

The fourth proportional to 387.56, 581.58 and 205.09 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.56 : 581.58 = 205.09 : x
  2. Step 2: Convert to fraction form
    387.56/581.58 = 205.09/x
  3. Step 3: Cross multiply
    387.56x = 581.58 × 205.09
  4. Step 4: Simplify right side
    387.56x = 119,276.24
  5. Step 5: Solve for x
    x = 119,276.24/387.56
  6. Step 6: Final answer
    x = 307.76

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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.