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Finding the Fourth Proportional to 384.45, 577.07 and 201.97

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Solution

The fourth proportional to 384.45, 577.07 and 201.97 is: 303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 577.07 = 201.97 : x
  2. Step 2: Convert to fraction form
    384.45/577.07 = 201.97/x
  3. Step 3: Cross multiply
    384.45x = 577.07 × 201.97
  4. Step 4: Simplify right side
    384.45x = 116,550.83
  5. Step 5: Solve for x
    x = 116,550.83/384.45
  6. Step 6: Final answer
    x = 303.16

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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.